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Give an isosceles right triangle with a hypotenuse of 570 what is the are of the triangle

User Buhbang
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Answer: Therefore, the area of the isosceles right triangle is approximately 81,329.50 square units.

Step-by-step explanation:In an isosceles right triangle, the two legs are of equal length. Let's assume that each leg has length x. Then, by the Pythagorean theorem, we have:

hypotenuse^2 = leg^2 + leg^2

Substituting the values given in the problem, we get:

570^2 = x^2 + x^2

Simplifying and solving for x, we have:

2x^2 = 570^2

x^2 = (570^2)/2

x ≈ 403.01

So, each leg of the triangle has a length of approximately 403.01.

The area of an isosceles right triangle is (leg^2)/2. Substituting the value of x, we have:

Area = (403.01^2)/2

Area ≈ 81,329.50 square units

Therefore, the area of the isosceles right triangle is approximately 81,329.50 square units.

User Yinka
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