To find the area of the triangle in the image, we can use the formula for the area of a triangle:

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

From the image:

• The base $b$ is 10 inches.
• The height $h$ is 7 inches.

Plugging in these values:

$\text{Area} = \frac{1}{2} \times 10 \times 7 = \frac{1}{2} \times 70 = 35 \text{ square inches}$

So, the area of the triangle is 35 square inches.

Would you like further details or have any questions?

Here are some related questions for further practice:

1. What is the perimeter of this triangle if the other two sides are each 8 inches?
2. How would you calculate the area of a triangle with an unknown base or height?
3. If the base were doubled, how would that affect the area of the triangle?
4. What other shapes can have their areas calculated with a similar formula?
5. How does the area of a triangle compare to the area of a rectangle with the same base and height?

Tip: Remember, for any triangle, the base and height must be perpendicular to each other for area calculations.