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Triangle DEF and Triangle GHI are similar. If DE, EF, DF, and GH are 12 inches, 14 inches, 15 inches, and 14.8 inches respectively, find HI to the nearest tenth.

2007-06-15 08:21:36 · 6 answers · asked by AdvisenEthics 2 in Science & Mathematics Mathematics

6 answers

DE:GH = 12:14.8 = 0.81
EF:HI = 14:?

? = 14/0.81 or 14*14.8/12 = 17.267.

2007-06-15 08:26:21 · answer #1 · answered by jjsocrates 4 · 0 0

HI/14.8 = 14/12
HI = 14.8*14/12 = 17.3 inches

2007-06-15 15:29:01 · answer #2 · answered by ironduke8159 7 · 0 0

ratio = 14.8 / 12 = 1.23333

EF = HI, EF = 14

Thus HI = 14 * (14.8/12) = 17.3

2007-06-15 15:26:57 · answer #3 · answered by TadaceAce 3 · 0 0

GH / DE = 14.8 / 12
HI / EF = 14.8 / 12
HI = EF x 14.8 / 12
HI = 14 x 14.8 / 12
HI = 17.3 inches (to 1 decimal place)

2007-06-16 02:20:42 · answer #4 · answered by Como 7 · 0 0

HI=17.3

2007-06-15 15:29:18 · answer #5 · answered by Justin 1 · 0 0

17.3

2007-06-15 15:39:09 · answer #6 · answered by Anonymous · 0 0

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