Geometry

Triangle Inequality Theorem

Triangle Inequality Theorem 150 150 SchoolTutoring Academy

The Triangle Inequality theorem states that: “The sum of the lengths of any two sides of a triangle is greater than the length of the third side.” Otherwise, a triangle…

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Tangent to a Circle

Tangent to a Circle 150 150 SchoolTutoring Academy

  The tangent to a circle is a line circle that intersects the circle in exactly one point. The point where the tangent touches the circle is the point of…

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Inscribed Angle and Conjectures

Inscribed Angle and Conjectures 150 150 SchoolTutoring Academy

An inscribed angle is an angle formed by two chords in a circle which meet at a common point. This common endpoint forms the vertex of the inscribed angle. The…

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Heron’s Formula: Area of a Triangle

Heron’s Formula: Area of a Triangle 150 150 SchoolTutoring Academy

Heron’s formula is used to calculate the area of a triangle if all three sides are known. It is called “Heron’s Formula” after Hero of Alexandria who was a Greek…

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Types of Triangles

Types of Triangles 150 150 SchoolTutoring Academy

Triangles are polygons with 3 sides and 3 angles which always add up to 180°. Types of triangles may be classified by their sides, by their angles or by a…

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Angles of Polygons

Angles of Polygons 150 150 SchoolTutoring Academy

Polygons are closed geometric figures made with straight lines.           Sum of interior angels The sum of the interior angles of a convex polygon of ‘n’…

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Types of Polygons

Types of Polygons 150 150 SchoolTutoring Academy

The word ‘polygon’ is derived from Greek words poly- which means ‘many’ and -gon means ‘corner’ or ‘angle’. Polygons are closed (all the lines joined) geometric figures made of straight…

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Converting between Radians and Degrees

Converting between Radians and Degrees 150 150 SchoolTutoring Academy

Radian and Degree are the most commonly used units to measure angels. Angle in degrees is denoted by symbol °  e.g. 50°. The radian is represented by ‘rad’ or by…

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Sector of a Circle: Understanding Key Terminology

Sector of a Circle: Understanding Key Terminology 150 150 SchoolTutoring Academy

A sector of a circle is an area enclosed by two radii and an arc. In the figure above, θ is the central angle and r are the radii of…

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Solving for the Hypotenuse: The Pythagorean Theorem

Solving for the Hypotenuse: The Pythagorean Theorem 150 150 SchoolTutoring Academy

  According to Pythagorean Theorem, in a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. In the triangle…

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