Question

The height of a particular triangle equals its base length. A new triangle is formed by dividing the hype by 2 and its area is 36 in^2 less than the area of the triangle. what are the height and base lengths of original triangle?

Answer 1

Height and base are both 12 in

Explanation:

Formula area triangle: area = (height * base) /2

Since for the first triangle height and base are the same we will call is x.

The area for the first triangle is

area = (x^2) /2 = 0.5x^2

The new triangle area is

first triangle - 36 = ((x/2) * x)/2

0,5x^2 - 36 = (0,5x * x)/2

0,5x^2 - 36 = (0,5x^2)/2

0,5x^2 - 36 = 0,25x^2

0,25x^2 = 36

x^2 = 144

X = square root (144) = 12 in