Is it a right angle?
a = 3
b = 5
c = 6
32+52=62
9 + 25 = 36
34 = 36
No, not a right triangle
Use the Pythagorean theorem to find c.
a = 7
b = 9
Use the Pythagorean theorem to find the missing leg for the triangle with c=5 and b=4.
a = 3
What is the name of the formula a2+b2=c2
Pythagorean Theorem
What is the first step of Pythagorean Theorem?
Label/Identify a, b, and c
a = 9
b = 12
c = 15
92+122=152
81 + 144 = 225
225 = 225
Yes, it is a right triangle
Use the Pythagorean theorem to find c.
a = 13
b= 17
21.4
Use the Pythagorean theorem to find the missing leg for the triangle with a= 8 and c=17.
b = 15
What type of triangles is Pythagorean Theorem used for?
Right Triangles: Isosceles right, scalene right
What is the second step of Pythagorean Theorem?
Identify what's missing
a = 3.9
b = 10.3
c = 11
3.92+10.32=112
15.21 + 106.09 = 121
121.3 = 121
Yes, it is a right triangle
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 5.2 and 12.4.
13.4
Use the Pythagorean theorem to find the missing leg for the triangle with a = 7 and c = 25.
b = 24
In the Pythagorean theorem, what are "a" and "b" called?
Legs
Once you have found the square of the missing side, what is your next step to find the length?
Square root the square
5, 10, 14
52 + 102 = 142
25 + 100 = 196
125 = 196
No, not a right triangle
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 18 and 24.
Use the Pythagorean theorem to find the missing leg for the triangle with c=20 and b=29.
a = 21
In the Pythagorean theorem, what is "c" called?
Hypotenuse
If the hypotenuse is the missing side, what operation do we use?
Addition
a = 7
b = 13
c = 17
72 + 132 = 172
49 + 169 = 289
218 = 289
No, not a right triangle
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 108 and 45.
117
Use the Pythagorean theorem to find the missing leg for the triangle with c = 37 and b = 12.
a = 35
We know three numbers represent a right triangle by using the ______ of Pythagorean Theorem.
Converse
If one of the legs are missing, what operation do we use?
Subtraction