If ∆ABC ~
∆DEF, (∆ABC)=36cm², A(∆DEF)=64cm², what is the ratio of the length of sides BC and EF ?
Answers
Answered by
8
Answer:
4.6 cm
Step-by-step explanation:
Area of two similar triangles ABC and DEF are 36 cm² and 81 cm².
So, their ratio
= 36/81
= 4/9
The ratio of area of similar triangles, is the square of the ratio of their corresponding sides. Hence, ratio of corresponding sides =
Now, EF = 6.9 cm
EF corresponds with BC, so their ratio would be 2/3
=> BC/EF = 2/3
=> BC/6.9 = 2/3
=> BC = 2/3 × 6.9
=> BC = 2 × 2.3
=> BC = 4.6 cm
:- 4.6 cm
Similar questions