Question

triangle ABC similar to triangle DEF area of triangle ABC is equal to 64 CM square and area of triangle DEF is equal to 121 CM square if f is equal to one 15.4 cm find BC​

Answer 1

If you have doubts then write in comment.

Answer 2

The value of BC is 11.2 cm.

Step-by-step explanation:

Since we have given that

ΔABC is similar to ΔDEF

And ΔABC = 64 cm²

Δ DEF = 121 cm²

So, ratio of area of triangles is the square of ratio of their corresponding sides.

According to question, it becomes,

$\dfrac{ar(ABC)}{ar(DFE)}=\dfrac{64}{121}=\dfrac{BC^2}{15.4^2}\\\\\dfrac{8^2}{11^2}=\dfrac{BC^2}{15.4^2}\\\\\dfrac{8}{11}=\dfrac{BC}{15.4}\\\\11BC=15.4\times 8\\\\BC=\dfrac{15.4\times 8}{11}\\\\BC=1.4\times 8\\\\BC=11.2\ cm$

Hence, the value of BC is 11.2 cm.

# learn more:

Given triangle abc similar triangle def and their areas are 64 cm and 121 respectively if ef equal 15.4 cm find bc

https://brainly.in/question/3078254