Topic Details (Notes format)

How to Classify Triangles by Sides and Angles

Subject: Mathematics

Book: Maths Mastery

Triangles can be classified by sides—equilateral (all sides equal), isosceles (two equal sides), scalene (all sides different)—or by angles—acute (all angles < 90°), right (one angle = 90°), obtuse (one angle > 90°). For example, a triangle with side lengths 3, 3, 5 is isosceles, while one with angles 30°, 60°, 90° is right-angled. Such classifications underlie geometry proofs and real-world designs like roof trusses, bridging shape fundamentals with practical engineering. Identifying the triangle type sets the stage for using the right formulas or theorems to solve deeper geometric questions.

Practice Questions

What is the sum of all even numbers between 1 and 100?

View Question

What is the square root of 0.25?

View Question

A car travels 240 km in 4 hours. What is its average speed?

View Question

The probability of rolling a sum of 7 with two dice is:

View Question

If a:b = 2:3 and b:c = 4:5, what is a:c?

View Question

A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

View Question

If the average of five consecutive odd numbers is 25, what is the largest number?

View Question

The probability of getting an even number when rolling a die is:

View Question

The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

View Question

If the product of two numbers is 120 and their sum is 26, what are the numbers?

View Question