Question

Find the value of the variables. If the answer is not an integer, leave it in simplest radical form.

Answer 1

12
`√(2)`

Explanation:

The single line through the two side indicate those lines are the same

Use Pythagorean theorem:

`a^(2) + b^(2)  = c^(2) \\12^(2) + 12^(2) =  x^(2)`

144 + 144 =
`x^(2)`

288 =
`x^(2)`

`√(288) = \sqrt{x^(2) }`

x = 12
`√(2)`

Answer 2

B. 12√2

Explanation:

When there is an isosceles triangle, you get the hypotenuse by taking one of the legs (in this case, it's 12) and multiplying it by √2, so that's how you get 12√2. Hope this helped :)