Find the hypotenuse of a right-angled isosceles triangle if the area is 1250 m2.
| September 3, 2021 | education
To solve this example, the first step is to determine the length of the leg of the isosceles rectangle.
As a result, using the formula for the area of a right-angled triangle, we obtain the leg length equal to √ (1250 x 2) = √ 2500 = 50 m.
Then, using the Pythagorean theorem, to determine the length of the hypotenuse, we will compose the following expression: √ (50 x 50 + 50 x 50).
When we count, we get √ (2500 + 2500) = √ 5000 = 50√2 m.
Answer: the length of the hypotenuse is 50√2 m.
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