Find the area of the triangle below. Show as much work as possible. Label your answer appropriately.
1 answer:
Answer:
![Area=\frac{5}{12}x^2](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B5%7D%7B12%7Dx%5E2)
Step-by-step explanation:
The area of a triangle is given by:
![Area=\frac{1}{2}*base*height](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B1%7D%7B2%7D%2Abase%2Aheight)
From the diagram ![base=\frac{5}{6}x,and,height=x](https://tex.z-dn.net/?f=base%3D%5Cfrac%7B5%7D%7B6%7Dx%2Cand%2Cheight%3Dx)
We substitute into the formula to get:
![Area=\frac{1}{2}*\frac{5}{6}x*x](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B1%7D%7B2%7D%2A%5Cfrac%7B5%7D%7B6%7Dx%2Ax)
This implies that:
![Area=\frac{5}{12}x^2](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B5%7D%7B12%7Dx%5E2)
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The answer is option c. Thank you
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