Question

Triangle abc similar to triangle pqr, ab is equals to 5.5 cm, pq is equals to 11 cm perimeter of triangle abc is 70 cm then perimeter of triangle pqr is

Answer 1

The perimeter of triangle PQR=140 cm

Step-by-step explanation:

$\triangle$ABC$\sim\triangle$PQR

AB=5.5 cm

PQ=11 cm

Perimeter of triangle ABC=70 cm

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

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

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

Perimeter of triangle=Sum of three sides of triangle

Perimeter of triangle ABC=AB+BC+AC

Perimeter of triangle PQR=PQ+QR+PR

Using the formula

$\frac{70}{PQ+QR+PR}=\frac{5.5}{11}$

$PQ+QR+PR=\frac{70\times 11}{5.5}=140 cm$

The perimeter of triangle PQR=140 cm

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https://brainly.in/question/14161206:Answered by Lublana

Answer 2

Answer:

as sides are proportionally double so perimeter will also be double so answer is 140cm.

Step-by-step explanation: