HSC Standard Maths Resources

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4.1 Right-Angled Triangle

These are the easiest forms of question that can be asked in the exam and involves all the basic stuff of right-angled triangle. It is important to get the following basics under control.

Right-angled triangle is one that has one angle of 90o. Each of its edges has certain names. See below:

Edge opposite right angle is called ‘Hypotenuse’. Angle of consideration in this triangle is ϴ and the edge next to it (other than hypotenuse) is called ‘Adjacent’, while the edge opposite the angle is called ‘Opposite’.

You may be given an angle and a side of a triangle and may be asked to work out another side using the formula above, or you may be given two sides and may be asked to work out an angle.

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Example 1

Calculate the value of x for the following triangles:

Example 2

Calculate the value of ϴ for the following triangles:

There are broadly 3 types of questions you can expect in exam:

4.1.1 Exam Question Type 1

4.1.2 Exam Question Type 2

4.1.3 Exam Question Type 3

Study notes of this section and other resources can be accessed here:

– 4.1.4 Study Notes & Resources

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