Question

This is a 45-45-90 triangle.What is the measure of x?8Xx = [?]VO

Answer 1

A 45 - 45 - 90 triangle appears to be an isosceles triangle. This means that the two sides of the triangle are equal.

Putting more details in the figure, we get:

Since the figure is a right triangle, we can use the Pythagorean Theorem to find x.

We get,

`\text{ c}^2\text{ }=a^2\text{ }+b^2`
`\text{ x}^2\text{ }=8^2+8^2^{}`
`\text{ x}^2\text{ }=64\text{ }+\text{ 64}`
`\text{ x}^2\text{ }=128`
`\text{ x}^{}\text{ }=√(128)\text{ }=\text{ }\sqrt[]{2\text{ x 64}}`
`\text{ x}^{}\text{ }=8\sqrt[]{2}`

Therefore, x = 8√2