SOLUTION: Using Radical Operations In Real Life Triangle # 1 6 inch (Left)/__\Hypotenuse=x (right side) 9 inch (bottom)

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Question 544544: Using Radical Operations In Real Life
Triangle # 1
6 inch (Left)/__\Hypotenuse=x (right side)
9 inch (bottom)
Triangle # 2
7 inch (left) /__\Hypotenuse=x
7 inch(bottom)
1)Using the Pythagorean theorem, find the length of each hypotenuse. Write the
length of each hypotenuse using radicals ( i.e. n√x ). (Show your work).
1)
2)
2) Without converting the hypotenuse lengths to a decimal, find the area of a
rectangle with a length equivalent to Hypotenuse #1 and a width equivalent to
Hypotenuse #2. Express your answer using radicals.
3) Find the ratio of Hypotenuse #1 to Hypotenuse #2. Express your answer using
radicals
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
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The area of rectangle with sides measuring and is

The ratio of the hypotenuse lengths found above is

I multiplied times the factor to rationalize (meaning getting rid of square roots in the denominator).
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