Find the value of x if your answer is not an integer leave it in simplest radical form

Asked by maham237 @ in Mathematics viewed by 370 People

Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

Answered by maham237 @


Answer:

x = 5sqrt(3)

Step-by-step explanation:

This is a right triangle. We can use the Pythagorean theorem to solve

a^2 +b^2 = c^2

5^2 +x^2 = 10^2

25+x^2 = 100

Subtract 25 from each side

25-25 +x^2 = 100-25

x^2 = 75

Take the square root of each side

sqrt(x^2) = sqrt(75)

x = sqrt(3*25)

Remember sqrt(ab) = sqrt(a)sqrt(b)

x = sqrt(5)sqrt(3)

x = 5sqrt(3)


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