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Solve for x, y, and z. Enter the integer that is under each radical.

Solve for x, y, and z. Enter the integer that is under each radical.-example-1
User Incpetor
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1 Answer

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Answer:


x=√(10)


y = \sqrt {14}


z = \sqrt {35}

Explanation:

By geometric mean theorem:


x=√(2* 5)


x=√(10)

By Pythagoras Theorem:


y^2 = x^2 + 2^2


y^2 = (√(10)) ^2 + 2^2


y^2 = 10 + 4


y^2 = 14


y = \sqrt {14}

Again by Pythagoras Theorem:


z^2 = x^2 + 5^2


z^2 = (√(10)) ^2 + 5^2


z^2 = 10 + 25


z^2 = 35


z = \sqrt {35}

User Boolean
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