What is the surface area of a triangle with a 12" base and 10" height?

To find the surface area of a triangle, the formula used is:

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

In this scenario, the base of the triangle measures 12 inches, and the height is 10 inches. Plugging these values into the formula gives:

[ \text{Area} = \frac{1}{2} \times 12 \text{ in} \times 10 \text{ in} ]

Calculating this step-by-step:

1. Calculate the product of the base and height:

( 12 \text{ in} \times 10 \text{ in} = 120 \text{ in}^2 )

2. Then, take half of that product:

( \frac{1}{2} \times 120 \text{ in}^2 = 60 \text{ in}^2 )

Therefore, the surface area of the triangle is 60 square inches. This process illustrates the correct application of the area formula for a triangle, confirming that the answer of 60 in² is accurate.