Question

17. Instructions: Use the ratio of a 45-45-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Answer 1

Below in bold.

Explanation:

The ratio of the sides in a 45-45-90 are 1:1:√2.

so V / 14√2 = 1 / √2

V = 14√2 / √2 = 14.

and U = V = 14 also.

Answer 2

u = v = 14

Explanation:

The ratios of side lengths in a 45-45-90 triangle are ...

1 : 1 : √2

Here, the long side is 14√2, so is 14 times this basic ratio.

1 : 1 : √2 = u : v : 14√2 = 14 : 14 : 14√2

This means ...

u = v = 14