Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = \boxed{} centimeters

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( c^{2}=a^{2}+b^{2} \), where \( a = 4.9 \), \( b = 2.6 \).
\( c^{2}=4.9^{2}+2.6^{2}=24.01 + 6.76=30.77 \)

Step2: Solve for \( c \)

Take square root: \( c=\sqrt{30.77}\approx5.5 \)

Answer:

\( 5.5 \)