Question

4.

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.


legs: 24 in. and 16 in.



A. 34.7 in.


B. 31 in.


C. 28.8 in.


D. 17.9 in.

Answer 1

The answer is C. 28.8 in

Explanation:

Given a=16 and b=24,

c = 28.84441 = 8√13

∠α = 33.69° = 33°41'24" = 0.588 rad

∠β = 56.31° = 56°18'36" = 0.98279 rad

h = 13.3128

area = 192

perimeter = 68.84441

inradius = 5.57779

circumradius = 14.42221 = 4√13