Question

The base of the triangle was 7, the hypotenuse (the slanted line) was 15, and the height of the triangle was 12. What is the area of the triangle?

a) 42 square units
b) 84 square units
c) 90 square units
d) 105 square units

Answer 1

The area of the triangle with a base of 7 units and height of 12 units is calculated using the formula for the area of a triangle, resulting in 42 square units.

Step-by-step explanation:

To calculate the area of a triangle, the formula is 1/2 × base × height. Given the base is 7 units and the height is 12 units, we plug these values into the formula:

Area = 1/2 × base × height

Area = 1/2 × 7 × 12

Area = 1/2 × 84

Area = 42 square units

Therefore, the area of the triangle is 42 square units, which corresponds to option a).