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Triangles
A triangle has three sides and three angles 

The three angles always add to 180° 
Equilateral, Isosceles and Scalene
There are three special names given to triangles that tell how many sides (or angles) are equal.
There can be 3, 2 or no equal sides/angles:
Equilateral TriangleThree equal sides 

Isosceles TriangleTwo equal sides 

Scalene TriangleNo equal sides 
What Type of Angle?
Triangles can also have names that tell you what type of angle is inside:
Acute TriangleAll angles are less than 90° 

Right TriangleHas a right angle (90°) 

Obtuse TriangleHas an angle more than 90° 
Combining the Names
Sometimes a triangle will have two names, for example:
Right Isosceles TriangleHas a right angle (90°), and also two equal angles 
Play With It ...
Try dragging the points around and make different triangles:
You might also like to play with the Interactive Triangle.
Perimeter
The perimeter is the distance around the edge of the triangle: just add up the three sides:
Area
The area is half of the base times height.
 "b" is the distance along the base
 "h" is the height (measured at right angles to the base)
Area = ½ × b × h
The formula works for all triangles.
Note: a simpler way of writing the formula is bh/2
Example: What is the area of this triangle?
(Note: 12 is the height, not the length of the lefthand side)
Height = h = 12
Base = b = 20
Area = ½ × b × h = ½ × 20 × 12 = 120
The base can be any side, Just be sure the "height" is measured at right angles to the "base":
(Note: You can also calculate the area from the lengths of all three sides using Heron's Formula.)
Why is the Area "Half of bh"?
Imagine you "doubled" the triangle (flip it around one of the upper edges) to make a squarelike shape (a parallelogram) which can be changed to a simple rectangle:
THEN the whole area is bh, which is for both triangles, so just one is ½ × bh.
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Scalene triangle  A triangle which does not has any of its side equal.
Iscosceles triangle  A triangle which has only two of its sides equal.
Equilateral triangle  A triangle that has all its sides equal is known as an equilateral triangle.
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1.Triangles based on sides
i)Equilateral triangleAll sides are equal.
ii)Isosceles triangleAny two sides are equal.
iii)Scalene triangleAll sides are of different length.
2.Triangles based on angles
i)Acute angled triangleAll angles are less than 90degrees.
ii)Right angled triangleOne angle measures 90degrees.
iii)Obtuse angled triangle One angle measure more than 90degrees.
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