Question

question 3 points 2 what is the hypotenuse of a right triangle with legs 8 units and 15 units? 17 units 16 units 18 units 20 units

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, the Pythagorean theorem is \( c = \sqrt{a^2 + b^2} \), where \( a \) and \( b \) are the legs, and \( c \) is the hypotenuse. Here, \( a = 8 \) and \( b = 15 \).

Step2: Calculate \( a^2 + b^2 \)

\( 8^2 + 15^2 = 64 + 225 = 289 \).

Step3: Find the square root

\( c = \sqrt{289} = 17 \).

Answer:

A. 17 units