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A triangle has a base of 3 2/5 inches and an area of 5 1/10 square inches. Find the height of the triangle.

1 Answer

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Answer:

3 inches

Explanation:

Formula for area of a triangle:

A = 1/2BH

Where "B" represents the base and "H" represents the height.

Plug in the given values and solve for "H" (height), but first, make the measurements improper fractions to solve more easier:

5 1/10 become 51/10(area) square inches

3 2/5 becomes 17/5(base) square inches

A = 1/2BH

Substitute:

51/10 = 1/2(17/5)H

51/10 = 17/10H

Divide both sides by 17/10 by multiplying it's reciprocal to both sides:

51/10(10/17) = H

H = 510/170 which simplifies to 3.

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