1. Geometric
Reasoning

2. Note 1: Pythagoras's Theorem
In any right angled triangle, label the hypotenuse (longest side) c. Label the shorter sides a and b. To find the hypotenuse the formula is:
c2 = a2 + b2 b a c

3. To find one of the two shorter sides, rearrange the formula to:
a2 = c2 - b2 b a c

4. x = 10 cm Example 1: Find x x 6cm 8cm Finding hypotenuse
 Formula with +
c2 = a2 + b2
8cm
6cm x
x2 =
x2 = 100
x = 100
x = 10 cm

5. x = 12.104 cm Example 2: Find x x Shorter side  Formula with - 12cm
a2 = c2 - b2
x2 =
x2 = 145
x = 145
x = cm

6. Page 215
Exercise K & L