2.7 – Triangles
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Transcript of 2.7 – Triangles
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2.7 – Triangles
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Type of ∆ Definition Picture
Equilateral Triangle
CLA
SSIF
ICAT
ION
BY
SID
ES
All sides are ≅
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Type of ∆ Definition Picture
Isosceles Triangle
CLA
SSIF
ICAT
ION
BY
SID
ES
2 Sides ≅base
leg leg
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Type of ∆ Definition Picture
Scalene Triangle
CLA
SSIF
ICAT
ION
BY
SID
ES
No sides are ≅
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Type of ∆ Definition Picture
EquiangularTriangle
CL
ASS
IFIC
ATIO
N B
Y A
NG
LE
S
All angles are ≅
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Type of ∆ Definition Picture
Acute Triangle
CLA
SSIF
ICAT
ION
BY
AN
GLE
S
All angles are acute
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Type of ∆ Definition Picture
Right Triangle
CLA
SSIF
ICAT
ION
BY
AN
GLE
S
One right angle
leg
leghyp
otenuse
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Type of ∆ Definition Picture
Obtuse Triangle
CLA
SSIF
ICAT
ION
BY
AN
GLE
S
One obtuse angle and 2 acute angles
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Classify the triangle by the best definition based on sides and angles. Then find the sum of the interior angles.
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scaleneright180
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equilateralequiangular
180
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isoscelesobtuse180
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4. The sum of ANY triangles interior angles is 180°. Use this fact to solve for x below.
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x + 75 + 54 = 180x + 129 = 180
x = 51
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2x + 3x + 55 = 1805x + 55 = 180
x = 255x = 125
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4x – 1 + 3x + 90 = 1807x + 89 = 180
x = 137x = 91
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A = 30 un2
A = ½(12)(5)
A = 30 un2
A = ½(12)(5) A = 30 un2
A = ½(12)(5)
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b
h
b
h
Triangle:
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Picture Perimeter Area
TriangleAdd the 3 sides
2bhA
12
A bh
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30 16 34P 80P in
1 30 162
A
2240A in
12
A bh
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20 48 39P 107P cm
1 48 152
A
2360A cm
12
A bh
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7 13 10P 30P m
1 10 52
A
225A m
12
A bh
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4. If the area of the triangle is 63cm2, find the height of the triangle.
12
A bh
163 212
h
126 21h6cm h