Question

Find the area of the triangle. height of 10x inches and length of (6x-1) inches

Answer 1

To find the area of a triangle, you can use the formula:

\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]

In your case, the height of the triangle is \(10x\) inches, and we can consider the base to be \(6x - 1\) inches.

Plugging these values into the formula, we get:

\[
\text{Area} = \frac{1}{2} \times (6x - 1) \times (10x)
\]

Now, calculate the area:

\[
\text{Area} = \frac{1}{2} \times (6x - 1) \times 10x
\]
\[
= \frac{1}{2} \times (60x^2 - 10x)
\]
\[
= 30x^2 - 5x
\]

Thus, the area of the triangle is:

\[
\text{Area} = 30x^2 - 5x \text{ square inches}
\]