We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

+0

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

0
520
2
+4221

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

Dec 28, 2017

### 2+0 Answers

#1
+1

39^2 - 36^2 = 15^2

So, the shorter side = 15 units.

Dec 28, 2017
edited by Guest  Dec 29, 2017
#2
+100521
+2

Notice that  one possible  "Pythagorean Triple" right triangle is  one with the sides  5 - 12 - 13

Any any  multiple  of these will also be a Pythagorean Triple...so....this implies that

5(3)  -  12(3)  - 13(3)   =

15  -  36   -  39   will also be a Pythagorean Triple

So....the shorter leg  =  15 units

Dec 29, 2017