Question

Triangle FGH is similar to JKM.

If f = 14.4 cm, g = 16.56 cm, h = 25.92 cm, and k = 9.2 cm, what is the measure of j?
A.
5.104 cm
B.
14.4 cm
C.
8 cm
D.
10.58 cm

Answer 1

Answer: J = 14.4 cm

Explanation:

K is similar to G

So we can find the scale that FHG was dilated by dividing the side length of G by the side length of K

16.56/9.2 = 1.8

So the sides of the triangle KMJ were multiplied by a factor of 1.8

to find m :

25.92/1.8 = 14.4

J = 14.4