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

 Apr 9, 2020
 #1
avatar+1968 
+2

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

 Apr 9, 2020
 #2
avatar+111329 
+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

 

cool cool cool

 Apr 9, 2020

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