Question

c
24 mm
7 mm
what is the perimeter? if necessary, round to the nearest tenth.
millimeters

Explanation:

Step1: Find the hypotenuse \( c \)

This is a right triangle, so we use the Pythagorean theorem: \( c = \sqrt{a^2 + b^2} \), where \( a = 7 \) mm and \( b = 24 \) mm.

$$ c = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25 $$

Step2: Calculate the perimeter

The perimeter \( P \) of a triangle is the sum of its three sides. So \( P = 7 + 24 + c \).
Substitute \( c = 25 \):

$$ P = 7 + 24 + 25 = 56 $$

Answer:

56