Question

PLEASE HELP ASAP Architect Frank Lloyd Wright included a pool shaped like a right triangle in his design of Taliesin West in Scottsdale, Arizona. The sides of the pool that represent the legs measure 41 ft and 40 ft. Calculate the perimeter of the pool. Round the answer to the nearest foot.

A.136 ft
B.138 ft
C.140 ft
D.144 ft

Answer 1

The answer is B.138 ft

The perimeter of the triangle with sides a, b, and c is:
P = a + b + c

We know:
a = 40 ft
b = 41 ft
c = ?

According to the Pythagorean theorem:
c² = a² + b²
c² = 40² + 41²
c² = 1600 + 1681
c² = 3281
c = √3281
c ≈ 57 ft

P = a + b + c
P = 40 + 41 + 57
P = 138 ft