Question

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Special Right Triangles (Radical Answers)

Answer 1

x =
`2√(2)` (or
`(2√(2) )/(1)` if it needs to be represented as a rational denominator)

Explanation:

We know that;

1.) This triangle is equilateral, and because of the line segment it's divided into 2 right triangles.

2.) The base of the whole triangle would be 4, and the base of the right triangle would be 2, since the base is cut in half with a mid point.

Therefore we can say;

A² + B² = C²

x² + 2² = 4²

x² + 4 = 16

x² = 16 - 4

x² = 8

x =
`√(8)`

Simplifying this further would be;

`√(8)` =
`√(4) * √(2)`

`√(8)` =
`2√(2)` (or
`(2√(2) )/(1)` if it needs to be represented as a rational denominator)

Hope this helps!