Question

What is the probability that a point chosen at random in the triangle is also in the blue square? A blue square inside of an unshaded triangle. The triangle has a base of 9 inches and height of 6 inches. The square has side lengths of 3 inches. StartFraction 1 over 6 EndFraction One-third One-half 1

Answer 1

Answer:

One-third

Step-by-step explanation:

we know that

The probability that a point chosen at random in the triangle is also in the blue square is equal to divide the area of the square by the area of triangle

step 1

Determine the area of triangle

$A=\frac{1}{2}(9)(6)=27\ in^2$

step 2

Determine the area of the square

$A=(3^2)=9\ in^2$

step 3

Determine the probability

$P=\frac{9}{27}$

simplify

$P=\frac{1}{3}$

therefore

One-third