Question

In the figure below, the segment is parallel to one side of the triangle. Find the value of x .

x =

Answer 1

12/(12+x)= 16/(16+x+6)
(12+x)/12= (22+x)/16
1+(x/12)= 22/16 + (x/16)
-6/16 = (x/16)-(x/12)
-3/8 = -x/48
x=18

Answer 2

Use the fact that the triangles are similar.

Therefore the ratio of the sides of the small triangles will equal the ratio of the sides of the larger triangle.

\[\implies {12+x \over 16 + x + 6} = {12 \over 16}\]

Answer 3

Or alternatively you can use the fact that other people seem willing to do your homework for you, and you can continue to do poorly in math.

Answer 4

use popak equation cross and mutipfly, continue solve

Answer 5

Refer to the figure below to find the measure.

Given:

If CR = 4, RA = 6, and RS = 10, find AB