Question

Triangle ABC is similar to triangle DEF. The measures of the side lengths are in cm. Triangle A B C.... 10... 6.... 7.... Triangle D E F.... 20... 14.... Which proportional can be used to find the length of EF¯¯¯¯¯¯¯¯ in cm?

Answer 1

Answer: EF= 12cm

Explanation:

Answer 2

EF = 12 cm

Explanation:

In similar triangles, the ratio of their sides are equal to each other. Now, we need to find out the correspondence between the sides:

It is clear from the side lengths that the sides AB and CA in triangle ABC correspond to the sides DE and FD in triangle DEF. The reason is the same ratio:

`(AB)/(CA) = (DE)/(FD)\\\\(10)/(7) = (20)/(14)\\\\1.42 = 1.42`

Therefore, EF must be corresponding to BC. So, another ratio equation can be written as follows:

`(BC)/(AB) = (EF)/(DE)\\\\(6)/(10) = (EF)/(20)\\\\EF = 6\ x\ 2\\`

EF = 12 cm