A perfect app or calculator does this easily. (Since you"re asking here, you"re obviously not unwilling to use an innovation to help.)

_____

Given two sides and also the had angle, the legislation of Cosines can help you discover the third side.

You are watching: Solve the triangle. b = 36°, a = 41, c = 20

... B² = a² + c² - 2ac·cos(B)

... B² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475

... B ≈ 25.715

Then the law of Sines can help you uncover the various other angles. It have the right to work fine to discover the smaller sized angle first (the one the opposite the shortest side). That way, you can tell if the larger angle is obtuse or acute.

... Sin(C)/c = sin(B)/b

... C = arcsin(c/b·sin(B)) ≈ 24.29515°

This angle and also angle B add to much less than 90°, so the remaining angle is obtuse. (∠A can also be found as 180° - ∠B - ∠C.)

... A = arcsin(a/b·sin(B)) ≈ 119.70485°

*


Answer from: brooke2337

b = 29.4 units , m∠A = 122.9 , m∠C = 21.1°

Step-by-step explanation:

* To resolve a triangle we can use cosine rule and also sin rule

* In ΔABC

- If a, b, c are the lengths the its 3 sides, where

# a is the contrary to edge A

# b is opposite to edge B

# c is the opposite to angle C

- By utilizing the cosine rule:

# a² = b² + c² - 2bc cos(A)

# b² = a²² + c² - 2ac cos(B)

# c² = a² + b² - 2ab cos(C)

- By using sin rule

# c/sinC = a/sinA = b/sinB

* allows solve the problem

∵ a = 42 , c = 18 , m∠B = 36°

* we will usage the cosine rule

∴ b² = (42)² + (18)² - 2(42)(18) cos(36) =864.766 ⇒ take it √ because that both sides

∴ b = 29.4

* currently we will use the sin rule to uncover m∠C

∵ 29.4/sin(36) = 18/sin(C) ⇒ by using cross multiplication

∴ sin(C) = 18 × sin(36°)/29.4 = 0.3598685

∴ m∠C = 21.1°

* The amount of the measure up of the inner angle of a triangle is 180°

∴ m∠A = 180° - (36° + 21.1°) = 122.9°

* b = 29.4 devices , m∠A = 122.9 , m∠C = 21.1°



Answer from: Looneytunness1806

Finishing the answer above:

B=36

a=38

c=18

b=25.7

a-b-c (SSS) {a^2=b^2+c^2-2ab(CosA)

38^2=25.7^2+18^2-2(25.7)(18)(CosA)

1444=660.49+324-925.2(CosA)

1444=984.49-935.2(CosA)

459.51=-935.2(CosA)

-0.491349443969204=CosA

A=119.43

b-B-C (SAA) (SinC)/c=(SinB/b)

(SinC)/18=(Sin36)/25.7

(SinC)/18=0.022871021489979

SinC=0.411678386819631

C=24.31

A=119.43

B=36

C=24.31

a=38

b=25.7

c=18



Answer from: keananashville

It is a triangle:

Step-by-step explanation:

b² = a² + c² - 2(a)(c)cos(B)

b² = 41² + 20² - 2(41)(20)cos(36)

b² = 754.2121292

b = 27.46292281

b = 27.463

A = 41, B = 27.4, C = 17

*


Answer from: keylor97

See below

Step-by-step explanation:

When you have actually 2 sides and the angle in between them you usage the cosine organize or legislation of cosines:

*

*

After you have a side and the opposed angle (side b and also angle B), you use the legislation of sines:

*

I will calculate edge A first:

*

Same for angle C:

*

The amount of the angles is 36° + 61.2° + 25.3° = 122.5°; The sum have to be 180° therefore this isnt a triangle.

I re go the trouble using B together 63° instead of 36° in situation you composed it wrong and I gained a satisfactory answer.

using B = 36:

b = 36.6

angle A = 86.4°

angle C = 29.1°

A+B+C = 86.4° + 29.1° + 63° = 178.5° ~ 180°

*


Answer from: mikehager4321

Step-by-step explanation:

i dont also know bruh


Answer from: imran2k13

That can not be a ideal triangle


Answer from: summer5716

Yes this is a Triangle

36 degrees of any side climate 41 would connct come 36 and 17 would connects to 36 and 41! If this is khan Academy her asking out of that a Yes, that is a Triangle

HOPE ns THE BRANLIESS UwU
Answer from: arpolin15
C = 82.8° b = 27.5 Here"s the working in situation you should see it. Using legislation of Cosines to very first find b: b² = a² + c² - 2acCOS(B) b² = (41)² + (20)² - 2(41)(20)COS(36) b = around 27.5 Now using law of Sines to uncover A sin(36) / (27.5 = sin(A) / (41) sin(A) = 41sin36 / 27.5 sin(A) = 0.876334376145 A = SinInverse(0.876334376145) A = about 61.2° Now utilizing 180-61.2-36 to find B = 82.8° Have a good day! 

Another concern on Mathematics


Mathematics, 21.06.2019 14:30
Find the worth of tan theta if sin theta = 12/13 and theta is in quadrant 2
Answers: 1
Answer
Mathematics, 21.06.2019 21:40
Aphrase is presented read the phrase and give me the answer
Answers: 1
Answer
Mathematics, 21.06.2019 23:50
The graph that a curve the passes the vertical line test is a:
Answers: 3
Answer
Mathematics, 22.06.2019 00:30
Will note 50 show all what is the solution to the device of equations? use the substitution technique and show your work. -5x+y= -3 -15 x+3y=7 explain what your answer in component (a) speak you about the combination of the present in this system.
Answers: 1
Answer
You know the appropriate answer?
Solve the triangle. B = 36°, a = 38, c = 17...
Questions
Physics, 28.09.2019 22:30
Explain just how to carry out it because that 9, 10, and also 11.​...
Answer
Physics, 28.09.2019 22:30
Calculate the planetary phase edge (counterclockwise indigenous earth, a = 1.0 au) the a probe might correctly complete a hohmann transfer orbit come venus (a...
Answer
English, 28.09.2019 22:30
What is the purpose of hrothgar"s promise to beowulf?...
Answer
Physics, 28.09.2019 22:30
Acharge q = 1.96 10-8 c is surrounded by an equipotential surface with a surface ar area the 1.18 m2. What is the electric potential in ~ this surface?...
Answer
History, 28.09.2019 22:30
How would you summary the difference in between warren’s and also wilson’s see on the risks associated with ratifying the constitution?...
Answer
Physics, 28.09.2019 22:30
Determine the velocity and position as a duty of time because that the time pressure f(t)= f0e^(-λt)cos(ωt+δ). Create plots because that the resulting equations....
Answer
Physics, 28.09.2019 22:30
Acopper cable carries 1 amp of electrical current. What sort of charge does the electron flow develop in the wire?...
Answer
Physics, 28.09.2019 22:30
Consider a decaying of radius 2.6 cm through a uni- formly distributed charge the +6.7.1c. Compute the size of the electric field at a suggest on the axis...
Answer
Mathematics, 28.09.2019 22:30
What"s the systems for x-5y=1 and also 2x-7y=8...
Answer
Physics, 28.09.2019 22:30
Aparticle of massive m is projected vertically upward through an initial speed vo in a consistent graviational field the particle and α is a positive constant...
Answer
English, 28.09.2019 22:30
Can who me the end real rapid on this i will appreciate the a many a lot
Answer
Physics, 28.09.2019 22:30
Why is the magnetic ar inside a current-carrying pipe same to zero? 2) if a heavy conducting cylinder was easily inserted in the hol...
Answer
History, 28.09.2019 22:30
Which of the complying with was true that secretary that state william henry seward? a. He protest american royal expansion. B. That anne...
Answer
Physics, 28.09.2019 22:30
For a 2-dimensional (2 eigenvalues / 2 outcomes) problem, the statistics operator can be created as a nice kind (20) 1. Making use of the over expression, s...
Answer
Social Studies, 28.09.2019 22:30
How hitler"s policies had actually an adverse impact on germany"s eco system such together the flora, fauna, land, resources etc.?...
Answer
Mathematics, 28.09.2019 22:30
Ross and also 5 of his friends are are going kayaking . They rent 6 kayaks for $420. Climate they bought food for every 6 world , wich. Expense $144. If all 6 peo...
Answer
Physics, 28.09.2019 22:30
The moon additionally appears to relocate relative to the stars from at some point to the next, yet at a rate different from the sun. Using the length of the month roun...
Answer
Biology, 28.09.2019 22:30
What is the key sense organ for each of the 5 senses?...
Answer
Physics, 28.09.2019 22:30
Acamera is thrown downward from an initial height yo - h v an initial speed vov - vo. Select down together the positive y direction (a) determine the equ...
Answer
Mathematics, 28.09.2019 22:30
What is the perimeter the rectangle abcd shown on the coordinate plane?
Answer
More questions: MathematicsAnother questions
See results (0)
The answer is no found?
ask an skilled a question
Join now
Email
Password
Your question
Log inForgot your password?
Too short question
Next
Log in
Email
Password
Join nowForgot her password?
Invalid login or password
Log in
You space registered.Access to her account will certainly be opened after verification and publication that the question.
Next
Password recovery
Email
New password sent out to your email
OkClose
Ask your concern to an expert
Your name
Email
Question
Pick a subject
Pick a subjectMathematicsHistoryEnglishBiologyChemistryPhysicsSocial StudiesAdvanced location (AP)SATGeographyHealthArtsBusinessComputers and also TechnologyFrenchGermanSpanishWorld Languages
Your concern is too short
Add photoSend
Question sent to expert. You will certainly receive response to the email.

See more: A Check Returned By The Bank Marked &Quot;Nsf&Quot; Means, Reasons For A Returned Check


OK
Cancel anytime.
No commitments. Release anytime. All pricing is in us dollars (USD). The subscriptoin renews automaticaly till you cancel. For more information check out our terms of use & Privacy plan
Instant access to the prize in our app
And countless other answers 4U without ads
Be smarter, download now!
or
see a few ads and also unblock the prize on the site
You can only questioning a question in the app
Be smarter, download now!