Math, asked by vedantwaykar7, 1 month ago

In triangle ABC, M is midpoint 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 = 16 cm and AC = 7 cm.

Answers

Answered by iaaircondition

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:

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In triangle ABC, M is midpoint 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 = 16 cm and AC = 7 cm.​

Answers

In triangle ABC, M is midpoint 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 = 16 cm and AC = 7 cm.