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LESSON 8: USING FORMULAS IN GEOMETRY
Geometry
FORMULAS
• Formula: a mathematical relationship expressed with symbols
• Perimeter: the sum of the side lengths of a closed geometric figure
• Often thought of as the distance around a figure
• Area: the size of the region bounded by the figure
• Pythagorean Theorem: , where and are the legs of a right triangle and is the hypotenuse
EXAMPLE
Find the perimeter of the triangle.
8 in.
8 in.8 in.
YOUR TURN
Find the perimeter of the rectangle:
145 cm
123 cm
EXAMPLE
Find the length of the rectangle.
𝐴=108 𝑖𝑛2
𝑙
9 in.
YOUR TURN
Find the base of a rectangle with an area of and a length of 6 cm.
EXAMPLE
Find the area of the triangle.
3 ft5 ft
YOUR TURN
Find the area of a triangle with a hypotenuse of 17 millimeters and a side length of 15 millimeters.
EXAMPLE
Much of the world uses degrees Celsius, but a few countries use degrees Fahrenheit. For scientists and travelers, converting between Celsius and Fahrenheit is an important skill. The formula is .
If it is , what is the temperature in degrees Fahrenheit?
YOUR TURN
If it is , what is the temperature in degrees Fahrenheit?
HOMEWORK QUESTIONS
CORRECTING HOMEWORK
• Get your homework out so I can stamp it.
• If you do not have your homework complete, write your name on the board.
• Use red pen/pencil to correct.
• Trade with someone who has the homework done.
• If you didn’t get it done, you need to be working on finishing it now. Remember no cheating and no work = no credit.
• Make sure you write CB with your name or you will lose your citizenship points for today.
HOMEWORK
• 1st and 2nd hour: Lesson 8: b, c, e-I, 3-8, 13-25, 27-30
• 3rd hour: Lesson 8: b, c, e-I, 6, 7, 14, 15, 16, 19, 22, 29