Triangle ABC is similar to triangle DEF with area(ABC) : area(DEF) = 9 : 16. The corresponding sides BC and EF add up to 35 cm.
Find BC (in cm).

Question

Triangle ABC is similar to triangle DEF with area(ABC) : area(DEF) = 9 : 16. The corresponding sides BC and EF add up to 35 cm. Find BC (in cm).

Accepted Answer

15. BC : EF = √9/16 = 3/4. With 3 + 4 = 7 parts making 35 cm, one part is 5 cm, so BC = 3 × 5 = 15 cm. The option 20 cm is EF, the other side; 12.6 and 22.4 come from dividing 35 cm in the area ratio 9 : 16 without first taking the square root.

Triangle ABC is similar to triangle DEF with area(ABC) : area(DEF) = 9 : 16. The corresponding sides BC and EF add up to 35 cm.
Find BC (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

Triangle ABC is similar to triangle DEF with area(ABC) : area(DEF) = 9 : 16. The corresponding sides BC and EF add up to 35 cm.Find BC (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

Triangle ABC is similar to triangle DEF with area(ABC) : area(DEF) = 9 : 16. The corresponding sides BC and EF add up to 35 cm.
Find BC (in cm).