the distance formula & pythagorean theorem day 90 learning target : students can find the...
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The Distance Formula & Pythagorean Theorem
Day 90Learning Target:Students can find the distance between 2 points using the distance formula.
Review the HWReview the HW
11, yx 22 , yx
2 22 1 2 1( ) ( )D x x y y
The Distance The Distance FormulaFormula
Example Find the distance between (1, 4) and (-2, 3). Round to the nearest hundredths.
D = 3.16
2122
12 )()(D yyxx
22 )43()12(D
22 )1()3(D
19D
10D
Example
Find the distance between the points, (10, 5) and (40, 45). Round to the nearest hundredths.
2122
12 )()(D yyxx
22 )545()1040(D
22 )40()30(D
1600900D
2500D
D = 50
3. Find the distance between the points. Round to the nearest tenths.
( ) ( )4 1 2 02 2
9 413
2122
12 yyxx
4. Find the distance between the points. Round to the nearest tenths.
2122
12 yyxx
Pythagorean Pythagorean TheoremTheorem2 2 2leg leg hyp
Pythagorean Theorem Word Pythagorean Theorem Word ProblemsProblems
• A square has a diagonal with length of 20 cm. What is the measure of each side? Round to the nearest tenths.
Pythagorean Theorem Word Pythagorean Theorem Word ProblemsProblems
• A 25 foot ladder is leaning against a building. The foot of the ladder is 15 feet from the base of the building. How high is the top of the ladder along the building? Round to the nearest tenths.
Pythagorean Theorem Word Pythagorean Theorem Word ProblemsProblems
• Ashley travels 42 miles east, then 19 miles south. How far is Ashley from the starting point? Round to the nearest tenths.
Pythagorean Theorem Word Pythagorean Theorem Word ProblemsProblems
• What is the length of the altitude of an equilateral triangle if a side is 12 cm? Round to the nearest tenths.
ClassworkClasswork Round to the nearest tenths.
Worksheet
Classwork / Classwork / HomeworkHomework
Quadrilaterals Task