6. The right triangles ABC and DEF are similar. The hypotenuse of ABC measures 28 cm and the hypotenuse of DEF measures 7

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

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  1. Answer:

    G 4 cm

    Step-by-step 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.

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