Chapter 5.5, Problem 25PSB

To determine

Tocalculate: the probability of the chosen triangle is to be an isosceles.

Answer to Problem 25PSB

  $\text{Probability of chosen triangle to be isosceless }=1$

Explanation of Solution

Given information:

  

  $SQUA$ is a square

Formula used:

  $\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

Calculation:

Total number of triangles in the given square $SQUA$ is 8, those are $\Delta QUA,\Delta UAS,\Delta ASQ,\Delta SQU,\Delta QUR,\Delta UAR,\Delta ASR,\Delta SQR$ and all these are isosceles

triangles.

  

  $\begin{array}{c}\text{Probability of chosen triangle to be isosceless }=\frac{\text{Number of isosceles triangles in SQUA}}{\text{Total number of triangles in SQUA}}\\ =\frac{8}{8}\\ =1\end{array}$