Answer:
The sides of the equilateral triangle are 11.7 m.
Explanation:
Let's find the area of the isosceles triangle:
Where:
b: is the base = 12 m
h: is the height
We can find the height by using Pitagoras:
Where:
x is the hypotenuse = side of the triangle = 10 m
Then, the area is:
Now, since the area of the isosceles triangle is equal to the area of the equilateral triangle:
The height of the equilateral triangle is given by:
Hence, the sides are:
Therefore, the sides of the equilateral triangle are 11.7 m.
I hope it helps you!