SOLUTION: The length of and isosceles right triangle is the square root of 288 units. Explain how to find the length of a leg.

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Question 1013348: The length of and isosceles right triangle is the square root of 288 units. Explain how to find the length of a leg.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Explain better what you mean that you have. Isosceles right triangle is a special 45-45-90 triangle, which is like half a square figure cut along a diagonal. Which length do you mean for this triangle? The hypotenuse, the base segment?

You ask for the length of a leg, so assuming "length" of the triangle is the hypotenuse, and if L is leg length for either congruent leg, L%5E2%2BL%5E2=288%5E2 according to Pythagorean Theorem formula,


2L%5E2=288%5E2
2L%5E2=288%2A2%2A144
L%5E2=288%2A144
L=sqrt%282%2A144%2A144%29
highlight%28L=144sqrt%282%29%29