Question

Calculate the probability of a random point landing in the red-shaded triangle with sides 8, 6, 5, and 5.

a) 1/40
b) 1/20
c) 1/30
d) 1/25

Answer 1

To calculate the probability of a random point landing in the red-shaded triangle, we need to calculate the area of the triangle and divide it by the total area of the given shape.

Step-by-step explanation:

To calculate the probability of a random point landing in the red-shaded triangle, we need to calculate the area of the triangle and divide it by the total area of the given shape. The formula to calculate the area of a triangle is A = 1/2 * base * height.

In this case, the base and height of the triangle are 5 and 8 respectively. Plugging these values into the formula, we get A = 1/2 * 5 * 8 = 20.

To find the total area of the shape, we can calculate the area of the rectangle by multiplying its length and width. The length is 8 and the width is 6, so the area of the rectangle is 8 * 6 = 48.

Therefore, the probability of a random point landing in the red-shaded triangle is A(Triangle) / A(Total shape) = 20 / 48 = 5/12.

The correct answer is (c) 1/30.