Question

Jonathan is putting a border around a right triangle and needs to create a piece of border equal to the triangle's height. If the triangle has a base length of 4 cm and a total area of 24 cm², what is the height?

Answer 1

Using the formula for the area of a triangle (Area = 1/2 × base × height), we find that the height of the triangle with a base of 4 cm and area of 24 cm² is 12 cm.

Step-by-step explanation:

To find the height of the triangle when given the base and the area, we can rearrange the formula for the area of a triangle, which is Area = ½ × base × height. Given that the area is 24 cm² and the base is 4 cm, we can set up the equation:

24 cm² = ½ × 4 cm × height

First, multiply both sides by 2 to get rid of the ½ on the right side:

48 cm² = 4 cm × height

Next, divide both sides by 4 cm to solve for the height:

height = 48 cm² / 4 cm

height = 12 cm

Therefore, the height of the triangle is 12 cm, which is the size of the piece of border that Jonathan needs to create.