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

$Probbility=\frac{desired}{total}$
$P_{triangle}=\frac{Area_{triangle}}{Area_{total}}$
$P_{triangle}=\frac{4\times\frac{b \times h}{2}}{s^{2}}$
$P_{triangle}=\frac{4\times\frac{8 \times 8}{2}}{26^{2}}$
$P_{triangle}=\frac{4\times\frac{64}{2}}{676}$
$P_{triangle}=\frac{128}{676}$
$P_{triangle}=0.189349112$
$P_{triangle=0.19$
$P_{triangle}\approx19\%$