What is the name of the formula a2+b2=c2
Pythagorean Theorem
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.
10, 24, 26
yes
sqrt: 250
5 rt10
What type of triangles is Pythagorean Theorem used for?
Right Triangles
Use the Pythagorean theorem to find c.
a = 5
b= 12
13
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
sqrt 1000
10 rt 10
In the Pythagorean theorem, what are "a" and "b" called?
Legs
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 14 and 48.
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
sqrt 63
3 rt 7
In the Pythagorean theorem, what is "c" called?
Hypotenuse
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 9 and 9
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
sqrt 252
6 rt 7
We know three numbers represent a right triangle by using the ______ of Pythagorean Theorem.
Converse
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 5 and 5 rt 3
10
Use the Pythagorean theorem to find the missing leg for the triangle with c = 20 and b = 10.
a = 10 rt 3
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
squrt 320
8 rt 5