Question #191428

in a triangle with the side lengths 5, 7, 9 length units, the largest angle x is

A) x>90

B) x=90

C) x<90


1
Expert's answer
2021-05-13T06:23:17-0400

We have given the sides of triangle 5,7,9.5,7,9.


Largest angle would be on the opposite of largest side,


We know,


cosA=b2+c2a22bccosA = \dfrac{b^2+c^2-a^2}{2bc}


cosA=52+72922×5×7cosA = \dfrac{5^2+7^2-9^2}{2 \times 5 \times 7}


cosA=2170cosA = -\dfrac{21}{70}


A=107.45A = 107.45^{\circ}


Hence the angle will be greater than 9090^{\circ}


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS