Question

A trapezoid has two non-parallel sides the same length, 13 inches. Its two parallel sides have lengths of 25 inches and 15 inches. Determine the height, h, of this trapezoid.

Thank You!

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Answer 1

To find the height of the trapezoid, use the formula for the area of a trapezoid and solve for h.

Step-by-step explanation:

To determine the height of the trapezoid, we can use the formula for the area of a trapezoid. The area of a trapezoid is given by the formula:

A = (b1 + b2)/2 * h

Where A is the area, b1 and b2 are the lengths of the parallel sides, and h is the height.

In this case, b1 = 25 inches, b2 = 15 inches, and A = 13 inches (since the two non-parallel sides are equal in length). We can rearrange the formula to solve for h:

h = 2A / (b1 + b2)

Plugging in the values, we get:

h = 2(13)/ (25 + 15) = 26/40 = 0.65 inches

Therefore, the height of the trapezoid is 0.65 inches.