1. Pythagorean Theorem Properties of Special Right Triangles

2. What is the Pythagorean Theorem used for?
to find the length of a missing side in a right triangle n 5 4

3. Pythagorean Theorem Formula a and b represent the legs
a2 + b2= c2
c represents the
hypotenuse
a and b represent the legs

4. Always opposite of the 90 degree angle
Where is it located??? c
Leg a
Hypotenuse
Always opposite of the 90 degree angle b
Leg

5. Remember!!!
The Pythagorean Theorem can ONLY be used on Right Triangles.
The Legs are ALWAYS the sides ADJACENT (next to) the 90 degree angle.
C is ALWAYS the Hypotenuse (the slant).
The Hypotenuse is ALWAYS opposite the 90 degree angle.

6. What is the length of the hypotenuse in the triangle below?
a2 + b2= c2 2 4 h

7. Plug in the value for each variable in the formula.
a2 + b2= c2
= h2 2 4 h

8. What is the length of the hypotenuse in the triangle below?2 4 h
a2 + b2 = c2
= h2
= h2
20 = h2

9. What is the length of the hypotenuse in the triangle below?
a2 + b2 = c2 2 4 h
= h2
= h2
20 = h2
= h 20
= h 2 5

10. Try this one . . . Find the hypotenuse of the right triangle below? 46 h

11. Find the hypotenuse of the right triangle below?
a2 + b2 = c2
= h2
= h2
52 = h2 52
= h
7.21 = h
= h2
= h2
52 = h2 52
= h
7.21 = h 4 6 h

12. Try this one . . .
What is the length of the missing leg in the triangle below? 5 3
a2 + b2 = c2 x

13. Find the hypotenuse of the right triangle below?
a2 + b2 = c2
32 + x2 = 52 5 3
9 + x2 = 25 x
x2 = 16
x = 16
x = 4