Question

A
3. In the triangle ABC, P and Q are the midpoints of AB
and AC respectively. Mand N are the midpoints of AP
and AQ respectively. If MN =1.6 cm, find BC.
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Answer 1

Answer:

6.4 cm

Step-by-step explanation:

PQ is midsegment of ΔABC. MN is midsegment of ΔPAQ.

Use the Midsegment Theorem, which states that the length of midsegment connecting the midpoints of two sides of a triangle is half of the length of the third side.

MN = $\frac{1}{2}PQ$ ⇒ PQ = 2MN ⇒ PQ = 3.2 cm

PQ = $\frac{1}{2} BC$ ⇒ BC = 2PQ ⇒ BC = 6.4 cm

Answer 2

Step-by-step explanation:

I HOPE YOU CAN UNDERSTAND