Maths-
General
Easy

Question

MN is the midsegment of △ ABC.
Find MN.
Also, find AC if CN = 35 cm

hintHint:

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

The correct answer is: Hence the length of AC = 70 cm.


    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.
    From this property, we have  MN equals 1 half B A

    not stretchy rightwards double arrow M N equals 1 half cross times 90

    not stretchy rightwards double arrow M N equals 45

    not stretchy rightwards double arrow M N equals 45 text  in.  end text
    text  Hence the length of  end text M N equals 45 text  in.  end text
    text  Here,  end text CN equals 35 cm text .  end text
    Since MN is the midsegment of AB, we have N as the midpoint of AC.

    not stretchy rightwards double arrow A C equals 2 C N

    not stretchy rightwards double arrow A C equals 2 cross times 35
    not stretchy rightwards double arrow A C equals 70 cm
    Hence the length of  A C equals 70 cm.

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