Two similar triangles ABC and DEF have area(ABC) = 64 cm^2 and area(DEF) = 121 cm^2. The difference between a side of DEF and the corresponding side of ABC is 6 cm. Find the side of triangle ABC (in cm).

Question

Accepted Answer

16. Side ratio ABC:DEF = √64/121 = 8:11. Difference 11k - 8k = 3k = 6, so k = 2. Side of ABC = 8 x 2 = 16 cm.

Two similar triangles ABC and DEF have area(ABC) = $64 cm^{2}$ and area(DEF) = $121 cm^{2}$ .
The difference between a side of DEF and the corresponding side of ABC is 6 cm.
Find the side of triangle ABC (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

Two similar triangles ABC and DEF have area(ABC) = 64cm2 and area(DEF) = 121cm2.The difference between a side of DEF and the corresponding side of ABC is 6 cm.Find the side of triangle ABC (in cm).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

Two similar triangles ABC and DEF have area(ABC) = $64 cm^{2}$ and area(DEF) = $121 cm^{2}$ .
The difference between a side of DEF and the corresponding side of ABC is 6 cm.
Find the side of triangle ABC (in cm).