Question

What is the area of a triangle whose side is 17 meters long​

Answer 1

125.141

Explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg:
`a^(2) +b^(2) =c^(2)`

`17^(2) -8.5^(2) = 216.75`

`√(216.75)` = 14.72243186

Now, we use another formula to find the area of the triangle:
`(Base*Height)/(2)`

14.72243186 × 17 = 250.2813416

250.2813416 ÷ 2 = 125.1406708