XYZ is isosceles with XY = XZ. Also, point W is on XZ so that XW = WY = YZ. The measure of XYW is what?
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Let XY = XZ = a and YZ = b
Ar(XYZ) = 1/4 * b* √(4a² - b²) = 1/4 * b² * √(4a²/b² - 1)
Triangle XYW is also isosceles. with XW = YW = b and base XY = a.
Ar(XYW) = 1/4 * a * √(4b² - a²) = 1/4 * a b * √[4 - a²/b² ]
Take their ratio to get answer.
Ar(XYZ) = 1/4 * b* √(4a² - b²) = 1/4 * b² * √(4a²/b² - 1)
Triangle XYW is also isosceles. with XW = YW = b and base XY = a.
Ar(XYW) = 1/4 * a * √(4b² - a²) = 1/4 * a b * √[4 - a²/b² ]
Take their ratio to get answer.
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