Find the hypotenuse of a right triangle with legs 7 and 24.

Prepare for the TSI A2 Mathematics Test. Enhance your skills with comprehensive questions, detailed solutions, and effective strategies. Succeed on your exam!

Multiple Choice

Find the hypotenuse of a right triangle with legs 7 and 24.

Explanation:
In a right triangle, the square of the hypotenuse equals the sum of the squares of the legs. So with legs 7 and 24, you compute c^2 = 7^2 + 24^2 = 49 + 576 = 625. The hypotenuse is c = sqrt(625) = 25. So the hypotenuse is 25. This is also the 7-24-25 Pythagorean triple, which explains why 25 fits exactly. The other numbers wouldn’t satisfy c^2 = 7^2 + 24^2, so they aren’t the hypotenuse.

In a right triangle, the square of the hypotenuse equals the sum of the squares of the legs. So with legs 7 and 24, you compute c^2 = 7^2 + 24^2 = 49 + 576 = 625. The hypotenuse is c = sqrt(625) = 25. So the hypotenuse is 25. This is also the 7-24-25 Pythagorean triple, which explains why 25 fits exactly. The other numbers wouldn’t satisfy c^2 = 7^2 + 24^2, so they aren’t the hypotenuse.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy