SOLUTION: An isosceles triange with a 90 degree angle and 2 45 degree hangles has a hypotenus of 7 square root 2. what is the base and height of it

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Question 193158: An isosceles triange with a 90 degree angle and 2 45 degree hangles has a hypotenus of 7 square root 2. what is the base and height of it
Answer by Alan3354(69443) About Me  (Show Source):
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An isosceles triange with a 90 degree angle and 2 45 degree hangles has a hypotenus of 7 square root 2. what is the base and height of it
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Since it's a right triangle, use Pythagoras's Theorem.
The 2 sides are equal.
c^2 = a^2 + b^2
c^2 = 2a^2
a+=+sqrt%28c%5E2%2F2%29
a+=+c%2Fsqrt%282%29
a = b = 7