in your math notebook estimate each square root: 25 36 27 111 45
TRANSCRIPT
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In your math notebook estimate each square root: 25 36 27 111 45
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Pythagorean Theorem
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Pythagorean TheoremIn a right triangle, the side opposite the right
angle is the hypotenuse.
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Pythagorean TheoremIn a right triangle, the side opposite the right
angle is the hypotenuse.
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Pythagorean TheoremIn a right triangle, the side opposite the right
angle is the hypotenuse.
Hypotenuse
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Pythagorean TheoremIn a right triangle, the side opposite the right
angle is the hypotenuse.
The hypotenuse is always the longest side.
Hypotenuse
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Pythagorean TheoremLegs:
Hypotenuse
Leg
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Pythagorean TheoremLegs:
Each of the sides forming the right angle.
Hypotenuse
Leg
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Pythagorean TheoremThe Pythagorean Theorem describes the
relationship of the lengths of the sides of a right triangle.
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Pythagorean TheoremThe Pythagorean Theorem describes the
relationship of the lengths of the sides of a right triangle.The sum of the squares of the lengths of the
legs is equal to the square of the length of the hypotenuse.
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Pythagorean TheoremThe Pythagorean Theorem describes the
relationship of the lengths of the sides of a right triangle.The sum of the squares of the lengths of the
legs is equal to the square of the length of the hypotenuse.
A + B = C
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Pythagorean TheoremThe Pythagorean Theorem describes the
relationship of the lengths of the sides of a right triangle.The sum of the squares of the lengths of the
legs is equal to the square of the length of the hypotenuse.
A + B = C
A
B
C
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Solve to find the hypotenuse:
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Solve to find the hypotenuse:
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Solve to find the hypotenuse:
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Using the equation:
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Using the equation:We can also use the equation to find one of
the legs.
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Using the equation:We can also use the equation to find one of
the legs.To find a leg, just put in what you know and
solve for the missing variable.
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Solve to find the missing leg:
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Solve to find the missing leg:
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Solve to find the missing leg:
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Pythagorean Triples:A set of three positive integers that satisfy
the set:a + b = c
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Find the distance traveled:Obama is 6.1 feet tall. The pitching mound is 60.5 feet from home plate.If Obama hits the plate, how far did the ball travel?
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Find the distance traveled:Cruz hits a homerun clearing the wall in center field, which is 400 feet from home plate.The wall in center field is 8 feet tall. How far did the ball travel (assume he hit it off the ground)?
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Conditional:
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Conditional:An if-then statement like, “If you live in El
Paso, then you are a Texan.”
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Conditional:An if-then statement like, “If you live in El
Paso, then you are a Texan.”Hypothesis:
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Conditional:An if-then statement like, “If you live in El
Paso, then you are a Texan.”Hypothesis:
The first part (after “if”).
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Conditional:An if-then statement like, “If you live in El
Paso, then you are a Texan.”Hypothesis:
The first part (after “if”).Conclusion:
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Conditional:An if-then statement like, “If you live in El
Paso, then you are a Texan.”Hypothesis:
The first part (after “if”).Conclusion:
The second part (after “then”).
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Conditional:An if-then statement like, “If you live in El
Paso, then you are a Texan.”Hypothesis:
The first part (after “if”).Conclusion:
The second part (after “then”).Converse:
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Conditional:An if-then statement like, “If you live in El
Paso, then you are a Texan.”Hypothesis:
The first part (after “if”).Conclusion:
The second part (after “then”).Converse:
Switches the hypothesis and conclusion.
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Converse of the Pythagorean Theorem:
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Converse of the Pythagorean Theorem:If a triangle has sides of lengths a, b, and c,
and a + b = c, then the triangle is a right triangle
with hypotenuse of length c.
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Find if the triangle is a right triangle using the converse of the Pythagorean Theorem:
3
4
5
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Find if the triangle is a right triangle using the converse of the Pythagorean Theorem:
5
6
7
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Special Right Triangles:
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Special Right Triangles:45 -45 -90 Triangles
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Special Right Triangles:45 -45 -90 Triangles
The length of the hypotenuse = leg
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Special Right Triangles:30 -60 -90 Triangles
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Special Right Triangles:30 -60 -90 Triangles
Hypotenuse = short leg 2Longer leg = short leg
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Find the missing sides:
45
45
3
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Find the missing sides:
45
45
10
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Find the missing sides:
60
30
10
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Find the missing sides:
60
30
14
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AssignmentPage 436-438Numbers 4-30 Even