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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.

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:

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

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