Question

1. what is the length of the hypotenuse of a right triangle with legs measuring 7 units and 24 units? a. 25 units b. 26 units c. 27 units d. 28 units

Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 7\) and \(b=24\), the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), where \(c\) is the hypotenuse. So \(c^{2}=7^{2}+24^{2}\).

Step2: Calculate squares

\(7^{2}=49\) and \(24^{2}=576\), then \(c^{2}=49 + 576\).

Step3: Sum the values

\(49+576 = 625\), so \(c^{2}=625\).

Step4: Find the square - root

\(c=\sqrt{625}=25\).

Answer:

a. 25 units