Question

In ∆ ABC, AB = 6cm, BC = 8 cm, AC = 10 cm. ∆ ABC is enlarged to ∆ PQR such that the largest side is 12.5 cm. What is the length of the smallest side of ∆PQR?

Answer 1

Answer:

the smallest side of ∆ PQR = 8.5

Step-by-step explanation:

In ∆ ABC,AC = 10 is the largest side.

Since ∆ ABC is enlarged to ∆ PQR, The largest side of ∆ ABC  is enlarged to  the largest side of ∆ PQR.

⇒ 10 + k = 12.5  ( k is the scale factor)

⇒k = 12.5 - 10 = 2.5

∴The smallest side of ∆ ABC  is enlarged to  the smallest side of ∆ PQR.

⇒ 6 + k = 6 + 2.5 = 8.5

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Answer 2

Answer:

The smallest side is $8.5cm$.

Step-by-step explanation:

We are given that ∆ ABC, AB = 6cm, BC = 8 cm, AC = 10cm

In ∆ ABC,AC = 10 is the largest side.

As ∆ ABC is enlarged to ∆ PQR, The largest side of ∆ ABC  is enlarged to  the largest side of ∆ PQR.

⇒ 10 + k = 12.5

As k is scalar factor.

⇒k = 12.5 - 10 = 2.5

Since the smallest side of ∆ ABC  is enlarged to  the smallest side of ∆ PQR.

Hence, 6 + k = 6 + 2.5 = 8.5cm.

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