Question

8 using the pythagorean theorem, calculate the hypotenuse of a right triangle if the sides of the legs are 10 cm and 15 cm? 300.5 cm 150 cm 36.04 cm 18.02 cm

Explanation:

Step1: Recall Pythagorean Theorem

The Pythagorean Theorem for a right triangle is \( c = \sqrt{a^2 + b^2} \), where \( a \) and \( b \) are the legs, and \( c \) is the hypotenuse. Here, \( a = 10 \) cm and \( b = 15 \) cm.

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

First, find \( a^2 \) and \( b^2 \). \( a^2 = 10^2 = 100 \) and \( b^2 = 15^2 = 225 \). Then, \( a^2 + b^2 = 100 + 225 = 325 \).

Step3: Find the square root of 325

Calculate \( c = \sqrt{325} \approx 18.02 \) cm.

Answer:

18.02 cm