Find the length and area of a rectangular rug if the width of the rug is 12 feet and the diagonal measures 20 feet.
2 answers:
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XY = 17.
Because YW is a perpendicular bisector, we can say that TW and WZ are both equal to 3. It tells us that XZ is 12, so that means that XW must be 12+3 which equals 15.
It also tells us that YW is 8. So we can use the Pythagorean Theorem to find the hypotenuse of Triangle XWY. Thus,
To solve this equation, square and add both of the terms on the right like this:
And then take the square root of both sides. Your final answer should be:
XY = 17.
Because YW is a perpendicular bisector, we can say that TW and WZ are both equal to 3. It tells us that XZ is 12, so that means that XW must be 12+3 which equals 15.
It also tells us that YW is 8. So we can use the Pythagorean Theorem to find the hypotenuse of Triangle XWY. Thus,
To solve this equation, square and add both of the terms on the right like this:
And then take the square root of both sides. Your final answer should be:
XY = 17.