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Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

User Gcampbell
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1 Answer

1 vote

Answer:


x =5\sqrt 3

Explanation:

Given

See attachment for triangle

Required

Find x

To do this, we make use of Pythagoras theorem


x^2 + 5^2 = 10^2

Solve the exponents


x^2 + 25 = 100

Collect like terms


x^2 =- 25 + 100


x^2 =75

Take square roots


x =\sqrt{75

Expand


x =\sqrt{25*3

Split


x =√(25)*\sqrt 3


x =5\sqrt 3

Find the value of the variable(s). If your answer is not an integer, leave it in simplest-example-1
User Dzimi
by
4.5k points