Question

Find the probability a point is chosen in the shaded region of the triangle inscribed in a square with side length 13 cm. Write the probability as a number between 0 and 1.

Answer 1

0.5

Explanation:

Area of Square

`A=s^2=13^2=169`

Area of White Triangle

`A=(bh)/(2)=(13\cdot13)/(2)=(169)/(2)=84.5`

Area of Shaded Region

`A=169-84.5=84.5`

Probability

`(84.5)/(169)=(1)/(2)=0.5`