Question

6. The right triangles ABC and DEF are

similar. The hypotenuse of ABC
measures 28 cm and the hypotenuse
of DEF measures 7 cm. If one of the
legs of ABC measures 16 cm, what
does the corresponding leg of DEF
measure?
F 1 cm
H 12 cm
G 4 cm
J 64 cm

Answer 1

G 4 cm

Explanation:

28/7 = 4, so the scale factor is 4. Therefore, if AC is 16, and triangle ABC is the bigger triangle, then divide it by 4 to get 4 cm for the smaller triangle DEF.