Work Shown:
Use the Angle Bisector Theorem to set up the proprtion below. Cross multiply then solve for x
3/2.25 = 4/x
3x = 2.25*4 ... cross multiply
3x = 9
3x/3 = 9/3 ... divide both sides by 3
x = 3
The value of x is 3.
A triangle is a polygon with three sides, three vertices and three angles.
The two triangles are shown in the figure
∠ACD = ∠BCD as CD is the angle bisector.
According to angle bisector theorem
CD divides AB into two parts such that the ratio is in proportion with the other two sides.
By the definition
2.25 /x = 3 /4
x = 2.25*4/3
x = 3
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