Question

8.4 cm
c
4.3 cm
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = centimeters

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \( c^2 = a^2 + b^2 \), where \( a = 4.3 \), \( b = 8.4 \), and \( c \) is the hypotenuse.

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

\( a^2 = 4.3^2 = 18.49 \)
\( b^2 = 8.4^2 = 70.56 \)

Step3: Sum \( a^2 \) and \( b^2 \)

\( a^2 + b^2 = 18.49 + 70.56 = 89.05 \)

Step4: Take square root of the sum

\( c = \sqrt{89.05} \approx 9.4 \)

Answer:

9.4