Processing math: 100%
 
+0  
 
-1
852
2
avatar

In a right triangle with integer length sides, the hypotenuse has length 39 units. How many units is the length of the shorter leg?

 Nov 14, 2017
 #1
avatar
0

In a right-angled triangle, you have to know at least 2 sides, or 1 side and 1 angle to find the other side.

 Nov 14, 2017
 #2
avatar+118703 
+1

In a right triangle with integer length sides, the hypotenuse has length 39 units. How many units is the length of the shorter leg?

 

x2+y2=392x2+y2=1521

 

sqrt(1521-38^2) = 8.7749643873921221

sqrt(1521-37^2) = 12.3288280059379529

sqrt(1521-36^2) = 15

 

there you go your short sides are  36 and 15

there is probably only one answer but i have not checked that.

 

The shortest side is 15units

 Nov 14, 2017

0 Online Users