Question

I. In triangle ABC, M is mid-point of AB and
a straight line through M and parallel to BC
cuts AC at N. Find the lengths of AN and
MN, if BC = 7 cm and AC = 5 cm.
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Answer 1

Answer:

acc to mid pt thm (converse)  the line drawn through the midpoint of one side of a triangle which is parallel to another side will bisect the third side and is half of it.

in ΔABC

AM=BM AND MN║BC

SO AN=CN

AC = 5CM

AN+CN=5CM

2(AN)=5CM  (AN=CN)

AN= 2.5CM

BC= 2(MN)   (MD-PT THM)

7CM= 2(MN)

7/2 CM=MN

3.5 CM = MN

Step-by-step explanation:

Answer 2

Answer:

an = 2.5

mn= 3.5

Step-by-step explanation:

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