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A triangle has a base of LaTeX: 3\frac{2}{5}3 2 5 inches and an area of LaTeX: 5\frac{1}{10}5 1 10 square inches. Find the height of the triangle (in inches).

User Newday
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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.

User RJN
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