Question

if the legs of a right triangle are 12 cm and 5 cm, then which of the following is the length of the hypotenuse? $12^2 + 5^2 =$ then take the square root
□ 13 cm
□ 14 cm
□ 11 cm
□ 16 cm
rewatch

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, the Pythagorean theorem states that \( c = \sqrt{a^2 + b^2} \), where \( a \) and \( b \) are the legs, and \( c \) is the hypotenuse. Here, \( a = 12 \) cm and \( b = 5 \) cm. First, calculate \( a^2 + b^2 \): \( 12^2 + 5^2 = 144 + 25 = 169 \).

Step2: Take the square root

Now, take the square root of 169: \( \sqrt{169} = 13 \).

Answer:

13 cm