SOLUTION: A 45- 45- 90 triangle has a hypotenuse of length 18 units. What is the length of one of the legs? If necessary, round your answer to two decimal places

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Question 202920This question is from textbook Geomery
: A 45- 45- 90 triangle has a hypotenuse of length 18 units. What is the length of one of the legs? If necessary, round your answer to two decimal places This question is from textbook Geomery

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
The 45-45-90 triangle is an isocseles triangle so the two legs are of equal length. Let x = the length of each leg. Use the Pythagorean theorem to find x.
C = 18, a = x, and b = x, so...
Simplify.
Divide both sides by 2.
Take the square root of both sides.

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