SOLUTION: A 45 - 45 - 90 triangle has a hypotenuse of length 15 units. What is the length of one of the legs? If necessary, round your answer to two decimal places.

Question 214697: A 45 - 45 - 90 triangle has a hypotenuse of length 15 units. What is the length of one of the legs? If necessary, round your answer to two decimal places.
Found 2 solutions by rfer, drj:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
Since the angles are equal, the legs will be equal.
15^2=a^2+b^2
225=112.5+112.5
sq rt of 112.5=10.6
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
A 45 - 45 - 90 triangle has a hypotenuse of length 15 units. What is the length of one of the legs? If necessary, round your answer to two decimal places.

Step 1. Let c=15 be the hypotenuse.

Step 2. Since the complementary angles are equal, their opposite sides are equal. Let s be the side of the legs.

Step 3. Using the Pythagorean Theorem given as the square of the legs (given as a and b) equal to square of the hypotenuse or . For this example, a=b=s.

Step 4. Then

Step 5. ANSWER: The length of the both legs is 2.74 units.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

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