Problem Solving Right Triangle Trigonometry

How you solve will depend on how much information is given.

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We can find the length of the third side using the Pythagorean Theorem: (You may have also recognized the "Pythagorean Triple", 6, 8, 10, instead of carrying out the Pythagorean Theorem.) You can also find the third side using a trigonometric ratio.

Notice that the missing side, b, is adjacent to angle A, and the hypotenuse is given.

Your student will have no fear of angles and triangles with the help of our Cazoom Maths Trigonometry worksheets.

When learning about trigonometry, many students struggle to understand how it is relevant in real life.

In this lesson we will return to right triangle trigonometry. In your previous study of geometry you may have used right triangles to solve problems involving distances, using the Pythagorean Theorem.

In this lesson you will solve problems involving right triangles, using your knowledge of angles and trigonometric functions.

We can find the third angle using the triangle angle sum: Solution: In this triangle, we need to find the lengths of two sides.

We can find the length of one side using a trig ratio.

Here, to finish solving the triangle, we only need to find the measure of angle B: Notice that in both examples, one of the two non-right angles was given.

If neither of the two non-right angles is given, you will need new strategy to find the angles. You can use right triangles to find distances, if you know an angle of elevation or an angle of depression.

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