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Find the measure of X, Y and Z in simplest form:

Find the measure of X, Y and Z in simplest form:-example-1
User Drack
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1 Answer

1 vote

Answer/Explanation:


12^2 = 16*x (altitude to hypotenuse theorem)

Solve for x using this equation


144 = 16x


(144)/(16) = x (division property of equality)


9 = x


x = 9


y^2 = 12^2 + x^2 (pythagorean theorem)


y^2 = 12^2 + 9^2 (substitution)


y^2 = 144 + 81


y^2 = 225


√(y^2) = √(225)


y = 15


z^2 = (x + 16)^2 - y^2 (pythagorean theorem)


z^2 = (9 + 16)^2 + 15^2 (substitution)


z^2 = 25^2 + 15^2


z^2 = 625 + 225


z^2 = 850


√(z^2) = √(850)


z = √(25*34)


z = 5√(34)

User Shady Smaoui
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