Question

1. 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.​

Answer 1

Answer:

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Answer 2

Qᴜᴇsᴛɪᴏɴ -

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.

Gɪᴠᴇɴ-

• BC = 7cm
• AC = 5cm

Tᴏ Fɪɴᴅ-

• Length of AN.

Sᴏʟᴜᴛɪᴏɴ -

AN = ?

MN = ?

since,

M bisects line segment AB. (given)

∴ AM = MB.

since,

MN || BC (given)

∴ N bisects AC. (Converse mid-point theorem)

∴ AN = AC = 5/2

$\: \: \: \: \: \: \: \: \: \: \boxed{ \green{ \sf \: => \: 2.5 cm}}$

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@MissSolitary✌️