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2 years ago

Need help with this geometric question ASAP, Thank you

Mathematics

1 answer:

MaRussiya [10]2 years ago

8 0

Answer:

a. x = 9

b. GH = 30; GK = 20

Step-by-step explanation:

An angle bisector in a triangle divides the sides proportionally.

In this triangle, that means ...

(3x +3)/18 = (3x -7)/12

2(3x +3) = 3(3x -7) . . . . . . . multiply by 36

6x +6 = 9x -21 . . . . . . . . . eliminate parentheses

27 = 3x . . . . . . . . . . . . . . add 21 -6x

x = 9 . . . . . . . . . . . . . . . divide by 3

The segment lengths are found by substituting the value of 3x in each of the given expressions:

GH = 3x +3 = 27 +3 = 30

GK = 3x -7 = 27 -7 = 20

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