Question

Given a right triangle with legs of 3 cm and 12 cm, which triangle is similar?

A)
A right triangle with legs of 6 cm and 18 cm
A right triangle with legs of 9 cm and 18 cm
A right triangle with legs of 6 cm and 24 cm
A right triangle with legs of 8 cm and 24 cm

Answer 1

A right triangle with a leg of 6 cm and 24 cm

Explanation:

Because when 3/12 gives use as a fraction of 1/4 (when canceled )

when we do this process for the rest of the options we find that

6/18 = 1/3 (wrong)

9/18 = 1/2 (wrong)

6/24 = 1/4 (correct)

8/24 = 1/3 (wrong)

So third option is correct