A few days ago
Julie

s (-5,5) h(6,5) o(6,-4) e(-5,-4) c(-1,3) l(4,0) u(-2,-2)?

If a point is chosen at random from inside SHOE, what is the probability it is also in triangle CLU?

Top 1 Answers
A few days ago
Just some guy

Favorite Answer

This is kind of a tricky problem… because it’s so visual, I suggest doing 2 things to help solve it: First, map the 7 points out onto a piece of graph paper (or just a 6×6 scribble that you draw yourself), and connect the dots for both SHOE and CLU. Second, go to the link I’ve listed below and look at example #5 to help along the way.

Once you’ve done that, follow these steps (and do the work right along with the steps as you read them, otherwise none of what I’ve written will make any sense!).

1) As you can now see on your piece of paper, CLU is a triangle that is completely within the rectangle SHOE… so the question is basically asking for the ratio of the triangle’s area to the rectangle’s area. Start off by finding the rectangle’s area (easy: base times height).

2) Now you need to find the triangle’s area, which is a little harder. Look at the second picture on the listed website, and you’ll see a triangle that looks just like the one you’ve drawn. Draw a rectangle on your paper that intersects the 3 points of your triangle in the same way you see the rectangle drawn on the website.

3) Find the values on your paper that correspond with f, g, v, and w on the website diagram.

4) Now, plug those 4 numbers into formula #5 from the website…

(FxG)/2 – (VxW)/2

…which will give you the area of the triangle.

5) Finally, put the number for the area of the triangle (CLU) OVER the number for the area of the rectangle (SHOE) and you have your answer!

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