George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run w
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Answer:
The sides of the equilateral triangle are 11.7 m.
Step-by-step 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!