+0  
 
0
54
1
avatar

How many units are in the sum of the lengths of the three altitudes in a triangle with sides  5, 12, and 13?

 Nov 28, 2020
 #1
avatar+114592 
+1

The legs form two altitudes  =  5 and  12

 

The remaining altitude drawn from the  right angle to the  hypotenuse =  (product  of  the legs) / hypotenuse   =

(5 * 12) / 13  =   60/13 units

 

Sum of the altitudes  =  5 + 12  + 60/13  =  ( 17 * 13  + 60 ) / 13  =   151/13  units

 

cool cool cool

 Nov 28, 2020

41 Online Users