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ABCD is a rectangle with dimension 36*90. If P is a point on one of the longer side BC with 2*PD=PA then what is the length of PB

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by cyber4dude

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by cyber4dude

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The Brainliest Answer!

y + z = 90

z = 90 - y

from pythagoras theorem

x² = 36² + z²

(2x)² = 36² + y²

4*36² + 4z² = 36² + y²

put z = 90 - y , we get

y² - 240y + 12096 = 0

y² - 168y - 72y + 12096 = 0

y(y - 168) -72(y - 168) = 0

(y - 168)(y - 72) = 0

y = 168

y = 72

as longer side is 90 hence y = 168 is not possible

length of PB = 72