The triangle shown below has an area of 121212 units^2
2
squared.
Find xxx.

4

Step-by-step explanation:

Let's set up an equation using the formula for the area of a triangle.

Hint #22 / 3

\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height} 12&= \dfrac12 \cdot 6 \cdot x 12&= 3x \dfrac{12}{\blueD{3}}&= \dfrac{3x}{\blueD{3}} \text{divide both sides by } {\blueD{ 3}} \dfrac{12}{\blueD{3}}&= \dfrac{\cancel{3}x}{\blueD{\cancel{3}}} x &=\dfrac{12}{\blueD{3}} x &=4\end{aligned}  

Area of a triangle

12

12

3

12

3

12

x

x

=  

2

1

⋅base⋅height

=  

2

1

⋅6⋅x

=3x

=  

3

3x

       divide both sides by 3

=  

3

3

x

=  

3

12

=4

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6