Question

Ms. Smith tells you that a righttriangle has a hypotenuse of 24 feet and a leg of 17 feet. She asks you to find the other leg of the triangle. Whatis your answer?

Answer 1

Answer: sqrt287

Explanation:

sqrt(24^2-17^2)=sqrt287

Answer 2

We can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Let's denote the length of the other leg by x. Then we have:

x^2 + 17^2 = 24^2

Simplifying and solving for x, we get:

x^2 + 289 = 576

x^2 = 287

x ≈ 16.91

Therefore, the length of the other leg of the right triangle is approximately 16.91 feet.