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In ABC, point...

Question

In ∆ABC, points P and Q are on CA and CB, respectively such that CA = 16 cm, CP = 10 cm, CB = 30 cm and CQ = 25 cm. Is PQ || AB?

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Solution

Given: and, we get

We will check whether or not to conclude whether.

$\frac{C P}{A C} = \frac{10 cm}{16 cm} = \frac{5}{8} \frac{C Q}{C B} = \frac{25 cm}{30 cm} = \frac{5}{6} ∴ \frac{C P}{A C} \neq \frac{C Q}{C B}$
Hence, PQ is not parallel to AB.

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ABC, points P and Q are on CA and CB, respectively such that CA = 16 cm, CP = 10 cm, CB = 30 cm and CQ = 25 cm. Is PQ

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ABC, points P and Q are on CA and CB, respectively such that CA = 16 cm, AC = 10 cm, CB = 30 cm and CQ = 25 cm. PQ is parallel to AB or not.

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In ∆ABC, points P and Q are on CA and CB, respectively such that CA = 16 cm, CP = 10 cm, CB = 30 cm and CQ = 25 cm. Is PQ || AB?

Given: and, we get We will check whether or not to conclude whether. CPAC=10cm16cm=58CQCB=25cm30cm=56∴CPAC≠CQCB Hence, PQ is not parallel to AB.

Given: and, we get

We will check whether or not to conclude whether.

$\frac{C P}{A C} = \frac{10 cm}{16 cm} = \frac{5}{8} \frac{C Q}{C B} = \frac{25 cm}{30 cm} = \frac{5}{6} ∴ \frac{C P}{A C} \neq \frac{C Q}{C B}$
Hence, PQ is not parallel to AB.