Applying the midsegment theorem, the <u>value of x = 5</u>
<em><u>Recall:</u></em>
- The midsegment theorem of a triangle states that the length of the mid-segment (DE) which is parallel to the third side (AC), is half the length of the third side AC of triangle BAC.
<em><u>Thus:</u></em>
DE = 1/2(AC)
2x - 3 = 1/2(x + 9)
2(2x - 3) = x + 9
4x - 6 = x + 9
4x - x = 6 + 9
3x = 15
x = 5
Therefore, applying the midsegment theorem, the <u>value of x = 5</u>
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Answer:
36
Step-by-step explanation:
