Question

In the isosceles trapezoid shown, GJ = 5 and Hi = 9. Determine the length of the midsegment of the trapezoid. A) 9 B) 7 C) 5 D)14

Answer 1

The length of the midsegment of the trapezoid is 7.

Step-by-step explanation:

To find the length of the midsegment of an isosceles trapezoid, we need to use the formula:

Midsegment length = (sum of the lengths of the two bases) / 2

In this trapezoid, GJ and HI are parallel sides, so they are the two bases. Given that GJ = 5 and HI = 9, we can substitute these values into the formula:

Midsegment length = (5 + 9) / 2

Midsegment length = 14 / 2

Midsegment length = 7

Therefore, the length of the midsegment of the trapezoid is 7.

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