The area of the equilateral triangle with perimeter of 90 inches is 225√3
inches²
Equilateral triangle:
- An equilateral triangle has all its side and angles equal .
Therefore,
The perimeter is the sum of the whole sides.
let each side = x
perimeter = 3x
90 = 3x
x = 90 / 3
x = 30 inches
let's find the area:
area = 1 / 2 bh
where
b =base
h = height
Using Pythagoras theorem,
h² = 30² - 15²
h = √900 - 225
h = √675
h = 5√27
Area = 1 /2 × 30 × 5√27
Area = 15 × 5√27
Area = 75 × 3√3
Area = 225√3 inches²
learn more equilateral triangle: https://brainly.com/question/20828952?referrer=searchResults
