Question

What is the value of x?



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x =

A right triangle with vertices labeled as A, B, and C. Side C B is the base, and the top vertex is A. Side A B contains a midpoint D. A line segment drawn from C to D bisects angle A C B into two parts labeled as A C D and B C D. Angles A C D and B C D are marked with single arc. Side A C is labeled as 3. Base C B is labeled as 4. Segment A D is labeled as 2.25. Segment B D is labeled x.

Answer 1

Answer:

  x = 3

Step-by-step explanation:

The angle bisector divides the segments either side of it proportionally. So, you have ...

  x/4 = 2.25/3

  x = 4·2.25/3 . . . . multiply by 4

  x = 3

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Since DB = 3 and DA = 2.25, point D is clearly not the midpoint of AB.