## greeneyes<3 Group Title In baseball, the distance of the paths between each pair of consecutive bases is 90 ft and the paths form right angles. How far does the ball need to travel if it is thrown from home plate directly to second base? I know we need to find the height of the triangle using the Pythagorean Theorem, but my answer was wrong :( Help please? one year ago one year ago

1. emily_grace2 Group Title

127.279221 feet

2. phi Group Title

you are asking for the length of a diagonal of a square with sides = 90 you can use pythagoras or you can use the idea that you have a 45-45-90 triangle.

3. saifoo.khan Group Title
4. phi Group Title

can you post how you did this problem ?

5. greeneyes<3 Group Title

I did h^2 + 45^2 = 90^2

6. phi Group Title

|dw:1365554076170:dw|

7. phi Group Title

I don't see where you got h^2 + 45^2 = 90^2 but look at the picture...

8. greeneyes<3 Group Title

I was thinking of a triangle instead of a square. So would it be 90^2 + 90^2 = h^2 ?

9. phi Group Title

yes and $h= \sqrt{90^2 + 90^2} = \sqrt{2\cdot 90^2}= 90 \sqrt{2}$

10. greeneyes<3 Group Title

Thank you so much! :D

11. phi Group Title

Think over how you got the wrong answer, and what you would do differently to get the right answer.