Question

∆PQR ~ ∆XYZ . If XY = 4 cm, YZ = 4.5 cm and ZX = 6.5 , PQ = 8 cm, then perimeter of ∆PQR is​

Answer 1

Answer:

Step-by-step explanation:

XY/PQ=YZ/QR=ZX/RP

4/8=4.5/QR

QR=9 cm

4/8=6.5/QR

QR=2*6.5=13 CM

perimeter of ∆PQR=8+9+13=30 CM

Answer 2

Answer:

The perimeter is $30cm$.

Step-by-step explanation:

It is given that ∆PQR ~ ∆XYZ.

XY =$4 cm$

YZ = $4.5 cm$

ZX = $6.5$

PQ = $8 cm$

We need to determine the perimeter of ∆PQR

Since both are similar.

$\frac{XY}{PQ}=\frac{YZ}{QR} =\frac{XZ}{PR}$

$\frac{4}{8}=\frac{4.5}{QR} =\frac{6.5}{PR}$

$\frac{1}{2}=\frac{4.5}{QR} =\frac{6.5}{PR}$

So, QR = $9cm$ and PR = $13cm$

The perimeter is boundary of triangle.

$=8+9+13$

$=30cm$

The perimeter is $30cm$.

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