Triangles
Introduction
Conventionally we use uppercase letters to represent each apex, and lowercase letters to represent the angles.
The internal angles of a triangle will sum to 180°.
A regular triangle is called equilateral . All its sides will be of equal length and all its angles will be equal, i.e. all angles will be 60°
A triangle with two sides equal is called isosceles . It will also have two equal angles.
In a Right Angled triangle, the longest side is called the hypotenuse (alternatively, the side opposite the right angle).
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a) Find angles marked a and b
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Isosceles Triangles
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a) Find the height of this isosceles triangle
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Pythagoras's Theorem
The square of the hypotenuse equals the sum of squares of the other two sides
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a) Find the length of the diagonal of the quadrilateral
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Area
The basic formula stated for the area of a triangle is