Question

Ts is the midsegment of trapezoid hjkl. If hj = 7 and ts = 10, find lk. Round your answer to the nearest tenth, if necessary.

Answer 1

To find the length LK, use the fact that TS is the midsegment of the trapezoid. Set up an equation using the lengths of TS, HK, and JL, and solve for JL.

Step-by-step explanation:

To find the length LK, we can use the fact that TS is the midsegment of trapezoid HJKL. This means that TS is parallel to HK and its length is equal to half the sum of the lengths of HK and JL.

Since TS = 10 and HJ = 7, we can write the equation: TS = (HK + JL) / 2. Plugging in the values we have, we get: 10 = (7 + JL) / 2.

Multiplying both sides by 2 gives us: 20 = 7 + JL. Subtracting 7 from both sides gives us: JL = 13.