Maths-
General
Easy

Question

In △ PQR, DE is the midsegment.
Find the value of x and the length of side PQ.

hintHint:

Use triangle midsegment theorem.

The correct answer is: PQ = 10


    Complete step by step solution:
    Here, DE is midsegment.
    DE is parallel to PQ and D E equals 1 half P Q
    SOx minus 3 equals 1 half left parenthesis x plus 2 right parenthesis

    not stretchy rightwards double arrow 2 left parenthesis x minus 3 right parenthesis equals left parenthesis x plus 2 right parenthesis

    not stretchy rightwards double arrow 2 x minus 6 equals x plus 2

    not stretchy rightwards double arrow 2 x minus x equals 2 plus 6
    not stretchy rightwards double arrow x equals 8
    Now , x = 8 and PQ = x + 2 = 8  +2 = 10
     

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