Drag the vertices to make the triangle roughly the shape you want.

At least one vertex must be moved before entering the triangle's data.

Click on three labels and enter the size of the angle or side.

Label the vertices , and

When you have entered three attributes click the button below:

In order to find all the attributes of a triangle at least three measurements are needed. In fact only three measurements are needed unless they are the three angles. In that case it is impossible to determine the lengths of the sides and the area as there are an infinite number of similar triangles with thise same three angles.

The following three relationships are used to find the unknown sides and angles.

The lengths of sides and size of angles must be all be positive numbers. Each angle must be less than 180^{o} and the longest side must be less than the sum of the shorter two sides.

This Solver is not only intended to be used with standard trigonometry or Pythagoras questions but also as a resource for students learning the basic construction skills with a rulers and pair of compasses. It also works well for a class practicing drawing angles using a protractor.

The teacher could manipulate the triangle above to show a base of say 13cm. Either side of this base angles of 50° and 70° are shown. The class is then challenged to make an accurate drawing of the triangle and their accuracy can be measured against the actual values the Triangle Solver produces when everyone has finished their drawings.

Similarly a triangle with only the three sides given can be projected for a class practicing ruler and compass constructions. This time it is fun to compare the measured angles of the finished triangle with the ones the Triangle Solver calculates.

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

The code for this application was written by Transum using the wonderful functions written by Copyright (c) 2015 Project Nayuki.

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Tuesday, November 29, 2016