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