207k views
3 votes
What is the value of x?



Enter your answer in the box.

What is the value of x? Enter your answer in the box.-example-1

1 Answer

6 votes

Explanation:

angle bisector theorem :

the ratio of the 2 baseline segments is the same as the ratio of the 2 legs of the main triangle.

in our case :

44.8/56 = (x + 4)/35

x + 4 = 44.8×35/56 = 44.8×5/8 = 28 mm

x = 24

FYI : one way of explaining the theorem is : we could see this as 2 projections originating from E at the same angle but onto a tilted projection screen.

the length on the projection screen (HD or GD) is directly related to the distance from the projection point to the end of the tilted projection : ED or EG. and so the ratios of both projections must be equal (due to the equal angle).

so, in our case

35/56 = (x + 4)/44.8

which leads, of course, to the same result

44.8×35/56 = x + 4

User Dupdup
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories