Question

What is the value of x in feet?
(Perimeter and area)

Answer 1

x = 71.937 ft or 72 ft

Perimeter = 187 ft

Area of triangle = 1260 ft²

Explanation:

Pythagorean Theorem

a^2 + b^2 = c^2

a = 35

b = x

c = 80

35^2 + x^2 = 80^2

x^2 = 5175

x = 71.937 ft or about 72 ft

Perimeter = a + b + c = 35 + 72 + 80 = 187 ft

Area of triangle =1/2*base*height= 1/2(72)(35) = 1260ft^2