Question

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

Answer 1

Answer:

$x =5\sqrt 3$

Step-by-step 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

$x =\sqrt{25}*\sqrt 3$

$x =5\sqrt 3$