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

Guest Nov 14, 2017
 #1
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In a right-angled triangle, you have to know at least 2 sides, or 1 side and 1 angle to find the other side.

Guest Nov 14, 2017
 #2
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In a right triangle with integer length sides, the hypotenuse has length 39 units. How many units is the length of the shorter leg?

 

\(x^2+y^2=39^2\\x^2+y^2=1521 \)

 

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

Melody  Nov 14, 2017

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