BrainPrincess2017 BrainPrincess2017

03-03-2018
Mathematics

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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 JKMIf f 144 cm g 1656 cm h 2592 cm and k 92 cm what is the measure of m A 5104 cm B 144 cm C 1058 cm D 8 cm class=

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SINAZEUS SINAZEUS

08-03-2018

k is similar to g
so we can find the scale that FHG was dilated by.
[tex]16.56 \div 9.2 = 1.8[/tex]
so the sides of the triangle KMJ were multiplied by 1.8.
to find m :
[tex]25.92 \div 1.8 = 14.4[/tex]
m=14.4
hope this helps

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