Question

Ts is the midsegment of trapezoid hjkl. If Ts = 24 and LK = 27.4, find HJ. Round your answer to the nearest tenth, if necessary.

Answer 1

To find the length of segment HJ in the trapezoid, use the property of midsegments which states that the midsegment is equal to the average of the lengths of the bases.

Step-by-step explanation:

To solve for the length of segment HJ, we can use the property of midsegments in a trapezoid. The midsegment is parallel to the bases and its length is equal to the average of the lengths of the bases. Therefore, we can set up the equation:

Ts = (HJ + LK) / 2

Plugging in the given values, we have:

24 = (HJ + 27.4) / 2

Multiplying both sides of the equation by 2, we get:

48 = HJ + 27.4

Subtracting 27.4 from both sides of the equation, we get:

HJ = 48 - 27.4 = 20.6

Rounding to the nearest tenth, HJ ≈ 20.6