# The Rule of Plato

### Math Project

10 squared/4-1=24 10 squared/4+1=26 24 squared + 26 squared = C squared

576 + 676 = C squared

1252 = C squared

The square root of 1252 and C squared

** 35.4 = C**

4 squared/4-1=3 4 squared/4+1=5 3 squared + 5 squared = C squared

9 + 25 = C squared

34 = C squared

The square root of 34 and C squared

** 5.8 = C**

6 squared/4-1=8 6 squared/4+1=10 8 squared + 10 squared = C squared

64 + 100 = C squared

164 = C squared

The square root of 164 and C squared

** 12.8 = C**

8 squared/4-1=15 8 squared/4+1=17

15 squared+17 squared=C squared

225+ 289= C squared

514= C squared

the square root of 514 and C squared

**22.7 = C**

12 squared/4-1=35 12 squared/4+1=37

35 squared + 37 squared = C squared

1225 + 1369 = C squared

2594 = C squared

the square root of 2594 and C squared

**50.9 = C**

2 squared/4-1=0 2 squared/4+1=2

0 squared +2 squared = C squared

0 + 4 = C squared

4 = C squared

the square root of 4 and C squared

**2 = C**

14 squared/4-1=48 14 squared/4+1=50

48 squared+50 squared= C squared

1304+2500=C squared

3804 = C squared

the square root of 3804 and C squared

**61.7 = C**

16 squared/4-1=63 16 squared/4+1=65

63 squared + 65 squared = C squared

3969 + 4225 = C squared

7921 = C squared

the square root of 7921 and C squared

**89 = C**

5 squared/4-1=5.25 5 squared/4+1=7.25

5.25 squared + 7.25 squared = C squared

27.5 + 52.5 = C squared

80 = C squared

the square root of 80 and C squared

**8.9 = C**

7 squared/4-1=11.25 7 squared/4+1=13.25

11.25 squared + 13.25 squared = C squared

126.5 + 175.5 = C squared

302 = C squared

the square root of 302 and C squared

**17.4 = C**

The rule of Plato has the same goal as the rule of Pythagoras. They have two legs and one hypotenuse. The two rules can get infinity legs and hypotenuses, but only two legs and one hypotenuse in each problem.