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If the hypotenuse of a 45°-45°-90° triangle is 13, what is the length of one of the legs?
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Asked 9/25/2014 10:48:41 AM
Updated 9/25/2014 8:49:23 PM
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Flagged by yeswey [9/25/2014 8:47:16 PM]
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User: If the hypotenuse of a 45°-45°-90° triangle is 13, what is the length of one of the legs?

Weegy: 8v2 Use Pythagorean theorem (or special right triangles) 8^2 + 8^2 = x^2 128 = x^2 x = 8v2 QED [ ] A 45-45-90 triangle has 2 equal legs. Using the Pythagorean Theorem, 8^2+8^2=c^2, so 128=c^2. The square root of 128 is 11.31.
sairam2|Points 23|

Question
Asked 9/25/2014 10:48:41 AM
Updated 9/25/2014 8:49:23 PM
1 Answer/Comment
This conversation has been flagged as incorrect.
Flagged by yeswey [9/25/2014 8:47:16 PM]
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If the hypotenuse of a 45°-45°-90° triangle is 13, let x be the length of one leg, then the other one is also x.
x^2 + x^2 = 13^2 = 169
2x^2 = 169
x^2 = 169/2
x = 13/sqrt 2 = (13 sqrt 2)/2 which is the length of one of the legs.
Added 9/25/2014 8:49:23 PM
This answer has been confirmed as correct and helpful.
Confirmed by jeifunk [9/25/2014 10:15:10 PM]
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