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
Use the Pythagorean theorem to find c.
a = 3
b = 4
5
Use the Pythagorean theorem to find the missing leg for the triangle with c=5 and b=4.
a = 3
Does the set of numbers represent a Pythagorean Triple. (a Right Triangle)
10, 24, 26
yes
What type of triangles is Pythagorean Theorem used for?
Right Triangles
What is the second step of Pythagorean Theorem?
Identify what's missing
Use the Pythagorean theorem to find c.
a = 6
b= 8
10
Use the Pythagorean theorem to find the missing leg for the triangle with a= 8 and c=17.
b = 15
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?
150 m
In the Pythagorean theorem, what are "a" and "b" called?
Legs
Once you have found the area (or square) of the missing side, what is your next step to find the length?
Square root the area (or square)
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
Use the Pythagorean theorem to find the missing leg for the triangle with a = 7 and c = 25.
b = 24
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?
3sqrt15 ft
In the Pythagorean theorem, what is "c" called?
Hypotenuse
If the hypotenuse is the missing side, what operation do we use?
Addition
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
Use the Pythagorean theorem to find the missing leg for the triangle with c=20 and b=29.
a = 21
For the perimeter of the triangle ABC given that AC = 13, CD = 12, and BD = 16.
54
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
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 12 and 16.
20
Use the Pythagorean theorem to find the missing leg for the triangle with c = 37 and b = 12.
a = 35
A right triangle has legs of lengths 3x + 2 and 4x−1, and a hypotenuse of length 5x. Use the Pythagorean Theorem to find the value of x.
x = -5/4