Question

Instruction: use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.u=v=

Answer 1

Let's start by identify a 30-60-90 triangle

If we compare those two traingles we can stablish the following relation:

$\begin{gathered} a\sqrt[]{3}=6\sqrt[]{3} \\ \end{gathered}$

Therefore, a=6

u is the opposite side to the 90° angle, therefore

$\begin{gathered} u=2a \\ u=2\cdot6 \\ u=12 \end{gathered}$

on the other hand, v is the opposite side to the 30° angles, so

$\begin{gathered} v=a \\ v=6 \end{gathered}$