Question

the perimeter of similar triangles ABC and PQR are 180cm and 50cm respectively. if QR=5cm, then find BC

Answer 1

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Answer 2

The length of BC is 18 cm

Step-by-step explanation:

We are given that the perimeter of similar triangles ABC and PQR are 180cm and 50cm respectively.

Theorem : The ratio of the corresponding sides of similar triangle is equal to the ratio of the perimeter of similar triangles

So, $\frac{BC}{QR}=\frac{\text{Perimeter of triangle ABC}}{\text{Perimeter of triangle PQR}}\\\frac{BC}{5}=\frac{180}{50}\\BC=\frac{180}{50} \times 5\\BC=18 cm$

Hence The length of BC is 18 cm

#Learn more:

If in triangle ABC similar to triangle PQR,BC=18.2,QR=6.5 and perimeter of ABC is 140 find the perimeter of PQR.

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