Question

what is the perimeter? if necessary, round to the nearest tenth. kilometers

Explanation:

Step1: Find the hypotenuse \( c \) using Pythagorean theorem.

The Pythagorean theorem states that for a right triangle, \( c^2 = a^2 + b^2 \), where \( a = 15 \) km and \( b = 36 \) km. So, \( c^2 = 15^2 + 36^2 = 225 + 1296 = 1521 \). Then, \( c = \sqrt{1521} = 39 \) km.

Step2: Calculate the perimeter.

The perimeter of a triangle is the sum of its three sides. So, perimeter \( P = 15 + 36 + 39 = 90 \) km.

Answer:

90