Question

Please help!!

Answer 1

Answer:

  x = 24

Step-by-step explanation:

The segments on either side of an angle bisector are proportional:

  (x +4)/44.8 = 35/56

  x +4 = 44.8·(35/56) = 28 . . . . multiply by 44.8

  x = 24 . . . . . subtract 4

Answer 2

Answer:

The value of x is 24.

Step-by-step explanation:

Given information: In ΔGHE, ED is angle bisector, EG=44.8 millimeters, GD=(x+4) millimeters, DH=35 millimeters, and EH=56 millimeters.

According to the angle bisector theorem, an angle bisector divide the opposite side into two segments that are proportional to the other two sides of the triangle.

In ΔGHE, ED is angle bisector, By using angle bisector theorem, we get

$\frac{GD}{DH}=\frac{EG}{EH}$

$\frac{x+4}{35}=\frac{44.8}{56}$

Multiply both the sides by 35.

$x+4=\frac{44.8}{56}\times 35$

$x+4=28$

Subtract 4 from both the sides.

$x=28-4$

$x=24$

Therefore the value of x is 24.