If a triangle has an hypotenuse of 60 and a leg of 48, what is the measure of its other leg?

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Answer 1 · 2018-04-04T18:44:23

The measure of the other leg is #36#.

To solve this, we use the Pythagorean Theorem, #a^2 + b^2 = c^2#

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Your hypotenuse, #c#, is #60#.

one of your legs (let's just say #a#) is #48#.

So let's plug them into the Pythagorean Theorem equation:
#48^2 + b^2 = 60^2#

#2304 + b^2 = 3600#

Now we subtract #2304# on both sides of the equation:
#b^2 = 1296#

#b = 36#

Therefore, the measure of the other leg is #36#.

Hope this helps!