(Front of card)

 

 

 

 

 

a2 + b2= c2

 

 

 

 

 

 

Pythagorean Theorem

 

Find the longest side c of a right triangle when the smaller two sides a and b are given.

 

Example

If  a = 5, b =12, find c.

 

5 2 + 12 2 = 169  c = √169 = 13

 

 

(Back of card)

 

(Front of 2nd card)

 

 

 

A train starts in one direction at 60 mph. At the same time, 1050 miles away, a second train travels in the opposite direction at 45 mph.  How long does it take the two trains to reach each other?

 

 

 

 

This is a rate, time, and distance problem.  Let x = time it takes to reach each other.

 

 

Rate

Time

Distance

1st train

60

x

60x

2nd train

45

x

45x

 

 

 

1050

 

60x + 45x = 1050

(Back of 2nd card)

Adapted from: How to be a GREAT Math Student 3rd edition by Richard Manning Smith