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Year 10 Interactive Maths - Second Edition


Triangles

Architects and builders use triangles to provide greater rigidity to the structure of a building. Most roofs have a triangular cross-section. Triangles are also used in the construction of bridges and geodesic domes that are used in some buildings.

The following triangles are commonly used to solve geometrical problems:


1. Isosceles triangle

An isosceles triangle is a triangle with two sides that are equal and base angles that are equal.


2. Equilateral triangle

An equilateral triangle has three equal sides and each angle equals 60 degrees.


3. Scalene triangle

A scalene triangle has 3 sides of different length.


4. Acute-angled triangle

An acute-angled triangle's three angles are all less than 90 degrees.


5. Right triangle

A right triangle has one triangle that is 90 degrees.


6. Obtuse-angled triangle

An obtuse-angled triangle has one angle greater than 90 degrees.

 

Example 2

Find the values of the pronumerals in the following diagram. Give reasons for your answers.

The diagram shows an isosceles triangle bounded by two parallel lines.

Solution:

y = 65     {Base angles of an isosceles triangle}

x = y = 65    {Alternate angles and y = 65}


Key Terms

triangle, isosceles triangle, equilateral triangle, scalene triangle, acute-angled triangle, right triangle, obtuse-angled triangle


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