Draws a triangle based on 3 side lengths.

Draws a triangle based on 3 side lengths and randomises asking for hypotenuse or not.

Finding the arc length of a sector of a circle when given the radius of the circle and angle of the sector.

Finding the arc length of a sector of a circle when given the radius of the circle and angle of the sector.

Given the specifications of two vectors, draw the parallelogram representing their sum, then estimate length of the diagonal. 

Taken from question 37 of the book Problem Solving in GCSE Mathematics by Daniel Griller.

Given bearings and lengths of two straight lines, work out the bearing and distance back to the starting point.

A Eukleides diagram shows the setup visually.

Draws a triangle based on 2 angles and a side length.

Draws a right angled triangle based on a length and an angle.

Draws a triangle based on 3 side lengths.

Draws a right angled triangle based on 2 lengths.

convert from inches to cm.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths and randomises asking for hypotenuse or not.

Use Pythagoras' Theorem to find the length of a side on a right-angled triangle.

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

Here you need to choose which formula you would use to find the red dashed value from the solid green values.  The view is three-dimensional and you can rotate it to get a better view.

Variable defintions in the formulas:
$\theta$ is an angle
Adj. is the length of the side adjacent to the known angle
Opp. is the length of the side opposite the known angle
Hyp. is the length of the hypotenuse


Your goal is to get twenty correct answers quickly. Incorrect answers show a highlight of the correct answer to select to continue.  The timer starts as soon as you choose your first answer and continues until you get 20 correct.  Select save answer after your results show in the applet.

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Basic runway length calculation.

Finding lengths of sides of triangles

Calculation of the length and alternative form of the parameteric representation of a curve, involving trigonometric functions.

Students are given lengths of 3 sides of a triangle (all randomised) and asked to find one of the angles in degrees. Requires use of the cosine rule.

Students are given two angles and the length of the side between them, they are asked to find the length of the side opposite angle A. Can be completed with the ine rule.

convert a random length in m to centimetres

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Use Pythagoras' Theorem to find the length of a side on a right-angled triangle.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

An experiment using a PhET applet. The student can attach masses of different weights to a spring, and is asked to measure and record how far it stretches. Their measurements are shown on a graph, and they're asked to estimate the formula for the length in terms of the mass.