Chapter 9, Problem 34RP

To determine

To find:The probability that the selected triangle is right triangle.

Answer to Problem 34RP

Required probability $\frac{1}{4}=0.25$

Explanation of Solution

Given information:

A 12 − m rope is used to form a triangle the lengths of whose sides are integers

Formula used:

Required probability = $\frac{\text{No}\text{. of outcomes desired}}{\text{Total no}\text{. of outcomes}}$

Calculation:

There are possibility of triangles: equilateral, scalene, right, obtuse

Thus,

Required probability = $\frac{\text{No}\text{. of outcomes desired}}{\text{Total no}\text{. of outcomes}}$ = $\frac{1}{4}=0.25$