Question

In Figure-3, PQ || BC, PQ = 3 cm, BC = 9 cm and AC = 7.5 cm. Find the
length of AQ.
​

Answer 1

Answer:

AQ=1/2AC

=1/2*7.5=3.75

Answer 2

In the given figure PQ || BC, PQ = 3 cm, BC = 9 cm and AC = 7.5 cm the length of AQ is 2.5cm.

Given that,

In the given figure PQ || BC, PQ = 3 cm, BC = 9 cm and AC = 7.5 cm.

We have to find the side of AQ.

​We know that,

From basic proportional theorem,

When ABC is a triangle with P and Q are midpoints of the sides AB and AC

So, The PQ line is parallel to BC

PQ = 3cm and BC = 9cm

AC = 7.5cm

So,

$\frac{PQ}{BC} = \frac{AQ}{AC}$

$\frac{3}{9} = \frac{AQ}{7.5}$

$\frac{1}{3} = \frac{AQ}{7.5}$

AQ = 2.5 cm

Therefore, In the given figure PQ || BC, PQ = 3 cm, BC = 9 cm and AC = 7.5 cm the length of AQ is 2.5cm.

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