A triangle has a height of 12 inches and a base of 7 inches. What's the area of the triangle?

A. 84 in.[tex]$^2$[/tex]
B. 42 in.[tex]$^2$[/tex]
C. 68 in.[tex]$^2$[/tex]
D. 22 in.[tex]$^2$[/tex]



Answer :

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

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

Given:
- The height of the triangle is 12 inches.
- The base of the triangle is 7 inches.

Now, substitute these values into the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times 7 \times 12 \][/tex]

When you multiply the base and height together:

[tex]\[ 7 \times 12 = 84 \][/tex]

Then, take half of this product:

[tex]\[ \frac{1}{2} \times 84 = 42 \][/tex]

So, the area of the triangle is:

42 square inches.

Therefore, the correct answer is:

42 in. [tex]$^2$[/tex]