Question

Student NameDateStand45-45-90 Right TrianglesFind the missing side lengths. Leave your answers as radicals in simplest form.1)y2)......Sosceles8521145°8V2 45:

Answer 1

Given:

A triangle with angles 45-45-90.

Required:

Find the missing side length.

Step-by-step explanation:

We will use here trigonometric ratios as:

`\begin{gathered} Cos\text{ 45}^(\circ)=(3)/(x) \\ x=(3)/((1)/(√(2))) \\ x=3√(2) \end{gathered}`

Now,

`\begin{gathered} sin45^(\circ)=(y)/(3√(2)) \\ (1)/(√(2))=(y)/(3√(2)) \\ y=3 \\ \end{gathered}`

Answer:

Hence, x and y are required lengths.