What is the name of the formula a2+b2=c2
Pythagorean Theorem
Find the distance between the point (-2,1) and (3,-2)
5.8
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
If the hypotenuse is the missing side, what operation do we use?
addition
What type of triangles is Pythagorean Theorem used for?
Right Triangles
Find the distance between (10,11) and (-1,1)
14.9
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
If one of the legs are missing, what operation do we use?
subtraction
In the Pythagorean theorem, what are "a" and "b" called?
Legs
Find the distance between (3,-4) and (3,10)
14
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?
11.6 ft.
In the Pythagorean theorem, what is "c" called?
Hypotenuse
What is the distance between the points (-6,0) and (7,0)?
13
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 b=20 and c=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
What is the distance between the points (-2,5) and (-4,8)
3.6
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. If x = 2 use the Pythagorean Theorem to find the length of the hypotenuse.
10.6