Home > CC2 > Chapter 6 > Lesson 6.2.5 > Problem6-106

6-106.

A triangle has a base that is three times longer than its height. It has an area of $486$ sq cm. Homework Help ✎

Use the 5‑D Process to find the base and height of the triangle. Write a variable expression for each column of your table.

Describe/Draw:
The shape is a triangle and you are looking at the area.

If your first trial for height is $15$, what is the base?

Keep making trials until the correct answer is found.
Once you find the correct answer, declare it in a sentence.

 Define Do Decide Height(trial)$x$ Base($\text{height}\times3$)$3x$ $\text{Area}=\frac{1}{2}\left(\text{base}\right)\left(\text{height}\right)$ $486$?
 Define Do Decide Height(trial)$x$ Base($\text{height}\times3$)$3x$ $\text{Area}=\frac{1}{2}\left(\text{base}\right)\left(\text{height}\right)$ $486$? $15$ $\left(15\right)\left(3\right)=45$ $\frac{1}{2}\left(45\right)\left(15\right)=337.5$ $337.5$ is too low