What is the value of x? enter your answer in the box. x = note: image not drawn to scale. triangle g e h with segment e d such that d is on segment g h, between g and h. angle g e d is congruent to angle d e h. e g = 49 cm, g d =35 cm, d h equals (x + 1) cm, and e h= 58.8 cm.

Step-by-step explanation:

Given is a triangle EGH with sides 49, 58.8 cm and third side as two parts with 35 and x+1 cm.

We have to find x.

Consider triangle GED and EDH separately.  We use sine formula to find GD and HD

Use sine formula for triangles

But sin GED = sin DEH (angle bisector)

Sin GDE = sin EDH (supplementary angles have the same sine)

So 35/49 = (x+1)/58.8

5/9=x+1/58.8

294 =9x+9

285 =9x

x =285/9 = 95/3

= 31.33 cm.