In a 45°- 45°- 90° right triangle, the length of the hypotenuse is 12. How long are the legs?

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In a 45°- 45°- 90° right triangle, the length of the hypotenuse is 12. How long are the legs?

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Answer 1 · 2015-07-01T22:03:04

I found #8.5#

Explanation:

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You can use Pythagoras Theorem where #c=12# is the hypotenuse and the other two legs have the same length #a# (it is an isosceles triangle=two equal sides); so:
#c^2=a^2+a^2#
#12^2=2a^2#
#144=2a^2#
#a^2=72#
#a=+-sqrt(72)=+-8.5#
You choose the positive one.

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In a 45°- 45°- 90° right triangle, the length of the hypotenuse is 12. How long are the legs?

1 Answer

Explanation:

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