pythagorean thm April 18, 2016 U6: C 1.1 & 1.3 Pythagorean Theorem Objective: Students will be able to 1) visually prove the Pythagorean Theorem , calculate the missing side of a right triangle by using the Pythagorean Theorem . If a 2 +b 2 =c 2 , then it's a right triangle If a 2 +b 2 =c 2 , then Not a right triangle 3 2 + 4 2 =5² 9 + 16 = 25 25 = 25 2 2 + 6 2 =7² 4 + 36 = 49 40 =49 What is the Pythagorean Theorem? a b c leg leg hypotenuse (It's the biggest values) Pythagorean Theorem (leg) 2 + (leg) 2 = (hypotenuse) 2 To use the Pythagorean theorem: 1.Find and label the hypotenuse. 2.Pick one side as a, one as b. 3.Fill the values into the equation. 4.Solve for the unknown variable. b = 12 cm. a = 5 cm Watch & Listen Calculate the length of the hypotenuse c when the sides are as follows. a = 5 cm, b = 12 cm. Calculate the length of the hypotenuse c when the sides are as follows. u do Example 1 a = −5 and b = −12 On a baseball diamond the distance from one base to the next is 90 feet. How far is it from home plate to second base? we do Example 2
pythagorean thmU6: C 1.1 & 1.3
calculate the missing side of a right triangle
by using the Pythagorean Theorem.
If a2 + b2 = c2 , then it's a right triangle
If a2 + b2 = c2 , then Not a right triangle
32 + 42 =5² 9 + 16 = 25 25 = 25
22 + 62 =7²
a b
2.Pick one side as a, one as b.
3.Fill the values into the equation.
4.Solve for the unknown variable. b = 12
cm.
a =
m
Watch & Listen Calculate the length of the hypotenuse
c when the sides are as follows.
a = 5 cm, b = 12 cm.
Calculate the length of the hypotenuse c when the sides are as
follows.udo
Example1 a = −5 and b = −12
On a baseball diamond the distance from one base to the next is 90 feet. How
far is it from home plate to second base?wedo
Example2
Determine the length of the unknown side.udo
Example2
Attachments
theorem.wmv
