Find the area of the triangle below. Show as much work as possible. Label your answer appropriately
Answer:
[tex]\frac{5x^{2} }{6}[/tex]
Step-by-step explanation:
Given: Base of triangle= [tex]\frac{5x}{3}[/tex]
Height of triangle= x
Now, finding the area of triangle.
We know area of triangle= [tex]\frac{1}{2} \times base\times height[/tex]
Subtituting the value of base and height in the formula.
⇒[tex]Area\ of\ triangle= \frac{1}{2} \times \frac{5x}{3} \times x[/tex]
Solving it to find area of triangle
∴ [tex]Area\ of\ triangle= \frac{5x^{2} }{6}[/tex]
Hence, area of triangle is [tex]\frac{5x^{2} }{6}[/tex]