7-1 The Pythagorean Theorem
Which side of a triangle is the hypotenuse? Not the associated letter.
The side opposite from the right angle.
a = 13
b = 84
c = 85
Right Triangle
A soccer feild 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 meters
Find the distance from point (2,1) to (5,5)
5 units
22
4
a = 3
b = ?
c = 5
b = 4
a = 4
b = 3
c = 7
NOT a Right Triangle.
How far from the base of the house do you need to place a 15 foot ladder so that it exactly reaches the top of a 12 foot wall?
9 feet
Find the distance from point (0,0) to (6,8)
10 units
42
16
a = ?
b = 40
c = 41
a = 9
a = 6
b = 12
c = 13
NOT a Right Triangle
12 meters
Find the distance from point (-2,1) to (1,5)
5 units
72
49
a = 5
b = 12
c = ?
c = 13
a = 7
b = 24
c = 25
Right Triangle
A soccer feild is a rectangle 90 meters wide and has a diagonal 150 meters long. The coach asks players to run the perimeter of the field. How far do the players run?
420 meters.
Find the distance from point (-4,-3) to (4,3)
10 units
92
81
a = 12
b = 35
c = ?
c = 37
What is the converse of the Pythagorean Theorem?
if a2+b2=c2 then a triangle is a right triangle.
The diagonal of a rectangle is 25 inches, the width is 15 in. What is the area of the rectangle?
300 inches2
Find the distance from point (-2,9) to (10,0)
15 units
132
169