The hypotenuse of a right triangle is 25 cm, and the shorter leg is 15 cm. What is the length of the other leg?

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The hypotenuse of a right triangle is 25 cm, and the shorter leg is 15 cm. What is the length of the other leg?

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Answer 1 · 2018-04-03T02:18:21

The other leg is #"20 cm"#.

Explanation:

So the equation for the Pythagorean theorem is

#a^2+ b^2= c^2#

The hypotenuse is always the #c#. It does matter if #25# is plugged into #a# or #b#. So

#15^2= 225# and #c^2 = 25^2 = 625#

So

Subtract #225# from both sides. You have #a^2# (or #b^2#) #= 400#. Square root on both sides. Therefore, #a^2# (or #b^2#), i.e. the other leg, is #"20 cm"#.

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The hypotenuse of a right triangle is 25 cm, and the shorter leg is 15 cm. What is the length of the other leg?

1 Answer

Explanation:

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