Question

A square poster has a side length of 26 in. Drawn on the poster are four identical triangles. Each triangle has a base of 8 in. and a height of 8 in. Children play a game in which they each wear a blindfold and throw a dart at the poster. A player whose dart lands inside a triangle wins a prize.

Assuming that a player's dart will always land on the poster, what is the probability of the dart landing in a triangle?

Enter your answer, as a decimal rounded to the nearest hundredth, in the box.

P(a point on a triangle) =

Answer 1

`Probbility=(desired)/(total)`

`P_(triangle)=(Area_(triangle))/(Area_(total))`

`P_(triangle)=(4*(b * h)/(2))/(s^(2))`

`P_(triangle)=(4*(8 * 8)/(2))/(26^(2))`

`P_(triangle)=(4*(64)/(2))/(676)`

`P_(triangle)=(128)/(676)`

`P_(triangle)=0.189349112`

`P_{triangle=0.19`

`P_(triangle)\approx19\%`