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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 m? A. 5.104 cm B. 14.4 cm C. 10.58 cm D. 8 cm

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 m? A. 5.104 cm B. 14.4 cm C. 10.58 cm D. 8 cm
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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 m?
A. 5.104 cm
B. 14.4 cm
C. 10.58 cm
D. 8 cm

Triangle FGH is similar to JKM. If f = 14.4 cm, g = 16.56 cm, h = 25.92 cm, and k-example-1
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User Riley Watkins
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1 Answer

3 votes
k is similar to g
so we can find the scale that FHG was dilated by.

16.56 / 9.2 = 1.8
so the sides of the triangle KMJ were multiplied by 1.8.
to find m :

25.92 / 1.8 = 14.4
m=14.4
hope this helps
answered
User Barnard
by
8.4k points
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