Question

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special right triangles (radical answers)

Answer 1

x =
`√(6)`

Explanation:

Since the given triangle is equilateral the all 3 sides would be:

`√(6) +√(6)` or
`√(12)`. Now we know that the base of the right triangle is
`√(6)` and the hypotenuse is
`√(12)`. Therefore we can say;

A² + B² = C²

(
`√(6)`)² + x² = (
`√(12)`)²

6 + x² = 12

x² = 12 - 6

x² = 6

x =
`√(6)`

Therefore; x =
`√(6)` is the length of x, in simplest radical form.

Answer 2

The answer is 6 root 2