Question

if triangle ABC is similar to triangle PQR, AB=5.5cm,PQ=10.5cm and perimeter of triangle ABC =66cm, then the perimeter of triangle PQR is​

Answer 1

Answer:

126cm

Step-by-step explanation:

ΔABC ~ ΔPQR

⇒ AB/PQ = k

∴ 5.5/10.5 = 11/21

let P pe perimeter of ΔPQR

∴ 66/P = 11/21

⇒ P = 66 * 21 / 11

   = 126cm

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Answer 2

The perimeter of triangle PQR=126 cm

Step-by-step explanation:

ABC$\sim$ PQR

When two triangles are similar then the ratio of their corresponding sides are equal.

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

PQ=10.5 cm

AB=5.5 cm

Perimeter of triangle ABC=66 cm

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

Perimeter of triangle =Sum of all three sides

Perimeter of triangle ABC=AB+BC+AC

Perimeter of triangle PQR=PQ+QR+PR

Substitute the value

$\frac{66}{PQ+QR+PR}=\frac{5.5}{10.5}$

$PQ+QR+PR=\frac{66\times 10.5}{5.5}=126$

Perimeter of triangle PQR=126 cm

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