What is the area of a triangle whose sides measure 13 inches, 15 inches, and 24 inches? Enter your answer, in simplified radical form

Guest Apr 9, 2020

#1**0 **

I'm pretty sure I answered this question before... I will give you the link in a moment.

CalTheGreat Apr 9, 2020

#2**+1 **

We can use Heron's formula here

s = the semi-perimeter = [ 13 + 15 + 24] / 2 = 52/ 2 = 26

The area is given by

√ [ s (s - a) (s - b) (s - c) ] where a, b, c are the sides of the triangle

√ [ 26 ( 26 - 13) (26 - 15) (26 - 24) ] =

√ [ 26 * 13 * 11 * 2 ] =

√ [26 * 26 * 11] =

26√11 in ^2

CPhill Apr 9, 2020