3 years ago

FIND THE MISSING LENGTH.

Mathematics

1 answer:

Reika [66]3 years ago

8 0

Answer:

x = 9

x+7 = 16

Step-by-step explanation:

The triangles in this geometry are similar, so the ratios of corresponding sides are proportional.

long side/short side = (x+7)/12 = 12/x

x(x +7) = 12²

x +7x -144 = 0 . . . . . subtract 144 to put in standard form

(x +16)(x -9) = 0 . . . . factor

x = 9 . . . . . . only the positive solution is useful here

The missing lengths are ...

x = DC = 9
x+7 = DA = 16

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