Question

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

Answer 1

Answer:

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

​