If the height of a triangle is five inches less than the length of its base, and if the area of the triangle is 52 square inches, find the base and the height.

Base = 10.4 inches

Height = 5.4 inches

Step-by-step explanation:

Let the length of the base = x

The height of the triangle = x - 5

Area of the triangle = 52

; Area of a triangle = 1/2 * base * height

; 52 = [x (x - 5) ]/2

; 104 = x^2 - 5

; Where x = square root of (104 + 5)

; x = 10.4

; The base (x) = 10.4 in

; The height (x - 5) = 10.4 - 5

= 5.4 in