SOLUTION: An isosceles right triangle has a perimeter of 14 cm. Find the length of a leg and simplify your answer. Leave answers with exact roots, do not use calculator!
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Question 889088: An isosceles right triangle has a perimeter of 14 cm. Find the length of a leg and simplify your answer. Leave answers with exact roots, do not use calculator! Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! An isosceles right triangle has a perimeter of 14 cm. Find the length of a leg and simplify your answer. Leave answers with exact roots, do not use calculator!
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let x=length of each leg
by the pythagorean theorem:
hypotenuse=√x^2+x^2=√2x^2=√2x
x+x+√2x=14
2x+√2x=14
x(2+√2)=14
x=14/(2+√2)
length of each leg=14/(2+√2)
check:
x+x+√2x=2x+√2x=x(2+√2)=14/(2+√2)*(2+√2)=14
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