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# Geometry help

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this is my study guide but i keep getting it wrong

cerenetie  Feb 21, 2018

#1
+6616
+3

1)

△ABC ~ △HGF    and    AB = 72    and    BC = 48    and    HG = 12

GF / BC  =  HG / AB

GF / 48   =   12 / 72

GF   =   48 * 12 / 72

GF   =   8

2)

Since  $$\frac{21}{42}\,=\,\frac{9}{18}$$    , the sides are proportional.

And the included angle is the same.

So by   SAS  ,   △FGH ~ △UVW

3)

By the AA theorem, △ABC ~ △EDC . So

AB / AC  =  ED / EC

15 / 18   =   31.5 / x

x * 15 / 18  =  31.5

x   =   31.5 * 18 / 15

x   =   37.8

hectictar  Feb 21, 2018
Sort:

#1
+6616
+3

1)

△ABC ~ △HGF    and    AB = 72    and    BC = 48    and    HG = 12

GF / BC  =  HG / AB

GF / 48   =   12 / 72

GF   =   48 * 12 / 72

GF   =   8

2)

Since  $$\frac{21}{42}\,=\,\frac{9}{18}$$    , the sides are proportional.

And the included angle is the same.

So by   SAS  ,   △FGH ~ △UVW

3)

By the AA theorem, △ABC ~ △EDC . So

AB / AC  =  ED / EC

15 / 18   =   31.5 / x

x * 15 / 18  =  31.5

x   =   31.5 * 18 / 15

x   =   37.8

hectictar  Feb 21, 2018

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