92.0k views
2 votes
Give an isosceles right triangle with a hypotenuse of 570 what is the are of the triangle

User Buhbang
by
8.2k points

1 Answer

5 votes

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
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.