MGF1106

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MGF1106
Unit Three Ex. 5.3 Triangles And The Pythagorean
Property Objectives 10-14
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Ex. 5.3
Objective 10
To find the missing angle of a triangle
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triangle
A _________ is a plane figure having three sides.
These sides are called _______ _________.
The sum of the angles in any triangle is ______.
180o
If one angle of a triangle is 75o and a second
angle is 52o, find the measure of the third angle.
180o - 75o - 52o
53o
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Determine the numbers of degrees denoted by x.
100o
80o
62o
38o
x
38o
80o 38o 1180
180o - 1180 62o
x 180o - 62o
1180
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Ex. 5.3
Objective 11
To classify triangles by the number of degrees
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Ex. 5.3
Objective 12
To classify triangles by the lengths of the sides
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Triangles are classified in two ways. They are
classified by the lengths of their _______ and by
the measure of their _______.
sides
angles
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Complete the following table
No sides equal
scalene
Two sides equal
isosceles
equilateral
Three sides equal
All acute angles
acute
One obtuse angle
obtuse
right
One right angle
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Classify as acute, obtuse, or right and as
scalene, isosceles, or equilateral.
scalene and acute
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isosceles and obtuse
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equilateral and acute
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scalene and right
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Ex. 5.3
Objective 13
To use the Pythagorean Property to find the
missing side of a right triangle
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A special property of right triangles is the
_____________ __________.
It gives a relationship between the legs of a
right triangle and the hypotenuse.
hypotenuse
leg
leg
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hypotenuse
The __________ is the side opposite the right
angle. It is always the longest side of the
triangle.
The other two sides are called the legs.
The Pythagorean property states that the sum of
the squares of the two legs is equal to the
square of the hypotenuse.
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Given the following right triangle
a and b are the legs, c is the hypotenuse
From the Pythagorean property, the following
statement is true.
a2 b2 c2
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Find the missing side of each right triangle.
32 x2 52
9 x2 25
x2 16
x 4
72 242 h2
49 576 h2
625 h2
25 h
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Ex. 5.3
Objective 14
To use the Pythagorean Property to solve real
world properties
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From his house Bob walks 20 miles north, then 6
miles west, and then 12 miles south. How far is
Bob from his house?
6 miles
82 62 d2
12 miles
64 36 d2
20miles
100 d2
10 d
d
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Bob is 10 miles from his house.
H
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