Question

Nana wrote the formula for the area of a triangle, A = lbh, in terms of b. Find the base of a triangle when A= 16 in^2 and h = 8 in^1.

Answer 1

To find the base of the triangle with an area of 16 in² and height of 8 in, we use the formula A = 1/2 × base × height, which gives a base of 4 inches.

Step-by-step explanation:

To find the base of a triangle given the area and height, one would use the standard formula for the area of a triangle, A = 1/2 × base × height. When the area A is 16 in² and the height h is 8 in, we can plug these values into the formula and solve for the base (b).

So, A = 1/2 × b × h
becomes 16 = 1/2 × b × 8. Multiplying both sides by 2 and then dividing by the height (8) gives us b = 16 × 2 / 8, which simplifies to b = 4 inches. Therefore, the base of the triangle is 4 inches.