Maths-
General
Easy

Question

NQ, MN and MQ are the midsegments of △ ABC.
Find BM.

hintHint:

Use the property of a midsegment in a triangle and find out.

The correct answer is: Hence the length of BM = 10.


    Complete step by step solution:
    A midsegment of a triangle is a segment that connects the midpoints of two sides of
    a triangle. Its length is always half the length of the 3rd side of the triangle.
    Here, NQ, MQ and MN are midsegments.
    So,N Q equals 1 half A B
    Now, A B equals 2 B M (since MN is midsegment and M is the midpoint of AB)

    not stretchy rightwards double arrow N Q equals 1 half cross times 2 B M

    not stretchy rightwards double arrow N Q equals B M
    not stretchy rightwards double arrow B M equals 10
    Hence the length of BM = 10.

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