Answer: Depicted below
Step-by-step explanation:
The <u>Pythagorean Theorem</u> is an equation that can prove a triangle is, in fact, a <em>right triangle</em> (a right triangle is a 3-sided shape that contains a right angle).
Secondly, we know that a and b are the <em>legs</em> of the triangle, and c is the <em>hypotenuse</em> (there’s an image that I’ve uploaded that shows the parts of a right triangle).
So, a = 8, b = 15 (you can switch these), and c = 17. So, the equation should look like this:
8^2 + 15^2 = 17^2 - simplify the powers (the caret symbol is used to identify a power)
64 + 225 = 289 - simplify the left side by adding
289 = 289 - the equation is true, meaning that the triangle is a right triangle
There are ways to select 3 from 9.
There are ways to select 3 men from 5 men and
ways to select 3 women from 4 women.
If all three selected are men, then no woman was selected, and we have
ways we can do that.
1)
2) If all 3 are women then no man was selected, and we have
ways we can do that.
3) If 2 men and 1 woman were selected, the we have ways we can do that.
4) If 2 women and 1 man is selected, then we have