Given a triangle A B C ,

doodverft05

doodverft05

Answered question

2022-06-22

Given a triangle A B C, C is 65 degrees, side C is 10. The area of the triangle is 20. What is the perimeter?

Answer & Explanation

seraphinod

seraphinod

Beginner2022-06-23Added 22 answers

We can grind it out. We have 1 2 a b sin ( 65 ) = 10, so a b is known. But from the Cosine Law, a 2 + b 2 2 a b cos ( 65 ) = 100, so a 2 + b 2 is known. Thus a 2 + 2 a b + b 2 is known, and now we know a + b.

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