Draws a triangle based on 3 input points. Calculates length, area, perimeter, heights and internal angles

Find angle and side in a right angled triangle.

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Using Pythagoras' theorem to determine a non-hypotenuse side, where side lengths include surds and students enter using sqrt syntax

Using Pythagoras' theorem to determine the hypotenuse, where side lengths include surds and students enter using sqrt syntax

Finding lengths of sides of triangles

Pythagoras' Theorem and naming sides of right angled triangle

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Ratio of sides of rectangles

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rebelmaths

Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

Find angle and side in a right angled triangle.

rebelmaths

Finding lengths of sides of triangles

Finding lengths of sides of triangles

Finding lengths of sides of triangles

A mass is inside a box which is suspended vertically by a cord. Question uses $F=ma$ for different accelerations.

Ratio of sides of rectangles

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

A question testing the application of the Sine Rule when given two sides and an angle.  In this question the triangle is obtuse and the first angle to be found is obtuse.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

Equations which can be written in the form

\[\dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x),   \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(y),   \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x)f(y)\]

can all be solved by integration.

In each case it is possible to separate the $x$'s to one side of the equation and the $y$'s to the other

Solving such equations is therefore known as solution by separation of variables

Finding lengths of sides of triangles

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