SOLUTION: the square of the hypotenuse of a right angled isosceles triangle is 128 metres. find the length of the legs.
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Question 536326: the square of the hypotenuse of a right angled isosceles triangle is 128 metres. find the length of the legs.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Use the Pythagorean theorem:
where: c (the hypotenuse) squared is 128 and the other two sides (these are equal in an isosceles triangle) we'll a and a, so...
Simplify.
Divide by 2.
Take the square root of both sides.
The length of each leg is 8 meters.
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