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.

The answer is C. 28.8 in

Step-by-step 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

exactly you go it

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet