Question

Given triangles HOW and GRU are congruent. If O=4x² - 4 and > R = 3x² + 3x. What is the measure of O?

Answer 1

If the triangles are congruent means that angle O and R must be equal

`\begin{gathered} 4x^2-4=3x^2+3x \\ 4x^2-3x^2-3x-4=0 \\ x^2-3x-4=0 \end{gathered}`

factor

`\begin{gathered} (x+1)(x-4)=0 \\ x=-1 \\ x=4 \end{gathered}`

since we are talking about measurements the only solution must be a positive one

`x=4`

replace x

`\begin{gathered} O=4\cdot(4)^2-6 \\ O=64-4 \\ O=60 \end{gathered}`