Chapter 16.5, Problem 2PS

To determine

To find: the ratio of and from a given triangle .

Answer to Problem 2PS

   and .

Explanation of Solution

Given:

  

   .

Concept used:

If two points balanced the product of the mass and distance from the line of the balance of on point will be equal to the product if the mass and distance from the same line balance of the other point.

  

Where is weight at which the weight is divided or incase of triangle the line which bisect the two weight.

Calculation:

According to the given:

   .

From the ratio from given the line provides a weight on or

Similarly, the ratio from the given line provides a weight on or

Therefore, the weight on

   so, take the multiple of both which is .

  

Which implies weight on :

  

According to the given diagram:

  

Similarly, that of ratio of

   .

Hence, and .