Question

a right triangle has legs with measures of 15 in and 20 in. find the length of the hypotenuse rounded to the tenths.
(1 point)
the length of the hypotenuse is □ in.

Explanation:

Step1: Apply Pythagorean theorem

Let \(a=15\), \(b=20\), hypotenuse \(c\). The theorem is \(c^2 = a^2 + b^2\)

Step2: Calculate sum of squared legs

\(c^2 = 15^2 + 20^2 = 225 + 400 = 625\)

Step3: Solve for hypotenuse

\(c = \sqrt{625} = 25\)

Answer:

25.0 in