Question

Calculator Triangle ABC is similar totriangle DEF. The length of AC is 12 cm. The length of EF is 35 cm. The length of DF is 20 cm What is the length of BC ? Enter your answer in the box. cm ​

Answer 1

BC = 21 cm

Explanation:

In similar triangles the corresponding sides are in same proportion.

Its given in the sum that AC = 12 cm; DF = 20 cm and EF = 35 cm.

`\sf (AB)/(DE)=(BC)/(EF)=(AC)/(DF)\\\\\\(AC)/(DF)=(BC)/(EF)\\\\(12)/(20)=(BC)/(35)`

`\sf (12)/(20)*35=BC\\\\\\(12)/(4)*7=BC\\\\\\3*7=BC\\\\ \boxed{BC = 21 cm}`