Final answer:
To find the height of the triangle, we can use the given area and base. The formula for the area of a triangle is Area = 1/2 × base × height. We are given the area as 5 1/10 square inches and the base as 3 2/5 inches. By rearranging the formula and solving for height, we find that the height of the triangle is 8 1/2 inches.
Step-by-step explanation:
To find the height of the triangle, we can use the given area and base. The formula for the area of a triangle is Area = 1/2 × base × height. We are given the area as 5 1/10 square inches and the base as 3 2/5 inches. To find the height, we can rearrange the formula and solve for height.
Area = 1/2 × base × height
5 1/10 = 1/2 × 3 2/5 × height
Multiplying the fractions, we get: 51/10 = 6/5 × height
To isolate the height, we can divide both sides of the equation by 6/5:
height = (51/10) / (6/5)
Performing the division, we get height = 8 1/2 inches.