8.1: Right Triangles

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8.1 Right Triangles

• 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
a2 b2 c2
c represents the hypotenuse
a and b represent the legs
4
Where is it located???
c
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
7
Plug in the value for each variable in the
formula.
a2 b2 c2
22 42 h2
8
What is the length of the hypotenuse in the
triangle below?
a2 b2 c2
22 42 h2
4 16 h2
20 h2
9
What is the length of the hypotenuse in the
triangle below?
a2 b2 c2
22 42 h2
4 16 h2
20 h2
h
20
h
5
2
10
Try this one . . .
Find the hypotenuse of the right triangle below?
4
6
h
11
Find the hypotenuse of the right triangle below?
a2 b2 c2
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
-9 - 9
x
x2 16
16
x
x 4