Lesson 7 2 Pythagorean Theorem Pythagorean Theorem right
- Slides: 7
Lesson 7 -2: Pythagorean Theorem
Pythagorean Theorem right triangle the sum of the • In a ________, legs of a right triangle will squares of the ______ hypotenuse equal the square of the ______. • Better know as: hypotenuse • But I like to write: leg “Leg squared plus leg squared equals hypotenuse squared. ”
Using Pyth. Theorem hypotenuse • When looking for the ______: Square-Add. Square Root Hypotenuse = legs “add the square of the two ____ square root sides, then ________” legs • When looking for one of the _____: Square-Subtract. Square Root Leg = hypotenuse “subtract the square of the ______ leg square and other _______, then ____ root ____”
Converse of the Pyth. Thrm. backwards • Converse just means ______ acute • This allows us to say if a triangle is _____ or obtuse _______ Acute triangle → ________ c a b Obtuse triangle → ________ c a b Triple Pythagorean _____ • A group of three whole numbers that are possible lengths in a right triangle. 3, 4, 5 5, 12, 13 • 2 popular sets: ____ and ____ Multiples • ______ of these 2 are also Pythagorean Triples.
Example 1 Find x. Answer:
Example 2 Determine whether 9, 12, and 15 are the sides of a right triangle. Then state whether they form a Pythagorean triple. Since the measure of the longest side is 15, 15 must be c. Let a and b be 9 and 12. Pythagorean Theorem Simplify. Add.
Example 3 Is a triangle with sides 3, 8, 10 acute, right, or obtuse?
