Question

1. what is the hypotenuse of a right triangle with legs of 7 units and 24 units?

a. 25 units
b. 24 units
c. 28 units
d. 26 units

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse. Given \(a = 7\) and \(b = 24\), we have \(7^{2}+24^{2}=c^{2}\).

Step2: Calculate the squares

\(7^{2}=49\) and \(24^{2}=576\). Then \(49 + 576=c^{2}\), so \(c^{2}=625\).

Step3: Find the square root

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

Answer:

A. 25 units