Triangle ABC is similar to triangle DEF, and each side of triangle DEF is k times the matching side of triangle ABC. It is given that area(DEF) = 5.76 times area(ABC).
Find k.

Question

Triangle ABC is similar to triangle DEF, and each side of triangle DEF is k times the matching side of triangle ABC. It is given that area(DEF) = 5.76 times area(ABC). Find k.

Accepted Answer

2.4. Since area(DEF) = k^2 × area(ABC), we need k^2 = 5.76, so k = √5.76 = 2.4. Reading k straight off the area factor gives 5.76, squaring that factor gives 33.1776, and halving 5.76 gives 2.88.

Triangle ABC is similar to triangle DEF, and each side of triangle DEF is k times the matching side of triangle ABC. It is given that area(DEF) = 5.76 times area(ABC).
Find k.

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, and each side of triangle DEF is k times the matching side of triangle ABC. It is given that area(DEF) = 5.76 times area(ABC).Find k.

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, and each side of triangle DEF is k times the matching side of triangle ABC. It is given that area(DEF) = 5.76 times area(ABC).
Find k.