What is the Construction of a Triangle?

A triangle is a three-sided polygon that has three edges and three vertices and the sum of the three angles (internal) of any given triangle is 180°.

Making triangles will involve using a protractor, compass, and ruler to make different angles. It has three sides, three vertices, and three angles. Construction of triangles is easy when measurements are given to us based on different properties such as SSS, SAS and ASA.

Worksheet on Constructions of Triangles.

In this article, we are going to see solved questions and also practice questions for a better understanding of the concept of the construction of triangles.

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What is the Construction of a Triangle?

A triangle is a three-sided polygon that has three edges and three vertices and the sum of the three angles (internal) of any given triangle is 180°....

Important Formulas

To find the measure of angles or sides in a triangle: Law of Sines: a/Sin A = b/Sin B = c/Sin C Constructing triangles when you have two sides and the included angle: Law of Cosines: c2 = a2 + b2 – 2ab cos C Pythagorean Theorem: Right angle triangle with a and b and hypotenuse c. a2 + b2 = c2 Area of a Triangle: if b and h are the base and height of a triangle. ‘A’ is given by; A = ½ bh Heron’s Formula: A triangle with sides a, b, c and semi-perimeter s = a + b + c / 2 A = √(s (s-a) (s-b) (s-c) ) Median of a Triangle: m = ½√(2a2 + 2b2 – c2 ) Altitude of Triangle: A = ½bh Centroid of a Triangle: The Centroid of a triangle is the point of concurrency of its medians. G (x1 + x2 + x3 / 3 , y1 + y2 + y3 / 3)...

Construction of Triangle Solved Questions

Question 1: Construct △XYZ, angle X = 50o, angle Y = 70o, and YZ = 7cm....

Practice Problems

1. Calculate the semi-perimeter of a triangle with sides of lengths 6cm, 8cm and 10cm....

Frequently Asked Questions

What are the basic requirements for a triangle?...