Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth
4.9 cm
2.4 cm
c = centimeters

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( a \) and \( b \) are the legs, \( c \) is the hypotenuse. Here, \( a = 4.9 \) cm, \( b = 2.4 \) cm.

Step2: Substitute values into the formula

\( c^2 = 4.9^2 + 2.4^2 \)
Calculate \( 4.9^2 = 24.01 \), \( 2.4^2 = 5.76 \)
So \( c^2 = 24.01 + 5.76 = 29.77 \)

Step3: Take the square root

\( c = \sqrt{29.77} \approx 5.5 \) (rounded to nearest tenth)

Answer:

5.5