SOLUTION: The hypotenuse of a 45-45-90 triangle measures 14 feet. Part a: Determine the length of a leg of the triangle. Part b: Determine the perimeter of the triangle.

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Question 906605: The hypotenuse of a 45-45-90 triangle measures 14 feet.

Part a: Determine the length of a leg of the triangle.
Part b: Determine the perimeter of the triangle.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
let's hypotenuse be
let's legs be and
given:

since you have 45-45-90 triangle means legs are same length:
by Pythagorean theorem
since and , we have








and .........the length of a leg of the triangle
Part b:
the perimeter of the triangle is




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