Question

Δ ABC ~ Δ PQR ,AB=3.6 cm ,PQ = 2.4 cm and AC = 8.1 cm then PR = ___________ cm​

Answer 1

6.9

Step-by-step explanation:

AB-PQ=3.6-2.7=0.9

now,8.1+0.9=PR=9.0/9cm

Answer 2

Answer :

PR = 1.067 cm.

Explanation :

• If two items have the same shape or the same shape as one another's mirror reflection, they are said to be comparable.
• If the respective sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are comparable (or proportion).
• Triangles that are similar will have the same shape but may not be the exact same size.

Formula To be Used :

The ratios of the corresponding sides are equal.

$\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC }{PR}$

Calculations :

$\frac{AB}{PQ} = \frac{AC}{PR} \\ PR \: = \frac{AC \times PQ}{AB} \\ PR = \frac{3.6 \times 2.4}{8.1} = 1.067 \: cm$

Hence, PR = 1.067 cm.

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