Question

I'm really stuck on this math problem. I never learned this in school. Can someone please help me out? Thank you

Answer 1

Hehe, these are fun to do. There are two ways to do this kind of problem. You can use the pythagorean theorem or we can use the distance formula.
Distance formula:
$d= \sqrt{(x2-x1)^2+(y2-y1)^2}$

Pythagorean Theorem:
$a^2+b^2=c^2$

Distance formula is better if you're finding distance between two coordinates. The Pythagorean Theorem only really works for independent values. If I had 2 sides of a triangle, and I needed to find the third, I'd use this equation to find it. In this case, we'll use the distance formula.

I'll work the first one out for you:
 x1   y1     x2  y2  
(3,   2) & (7,   4)

$d= \sqrt{(7-3)^2+(4-2)^2}$
                           v
$d= \sqrt{(4)^2+(2)^2}$
                           v
$d= \sqrt{(16+4}$
                           v
$d= \sqrt{20}$

There's your answer!


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