Category: 1. Pythagorean Theorem

The applications of the Pythagoras theorem can be seen in our day-to-day life. Here are some of the applications of the Pythagoras theorem. Engineering and Construction fields Most architects use the technique of the Pythagorean theorem to find the unknown dimensions. When length or breadth are known it is very easy to calculate the diameter of a…

Consider a right-angled triangle ABC, right-angled at B. Draw a perpendicular BD meeting AC at D. In △ABD and △ACB, ∠A = ∠A (common) ∠ADB = ∠ABC (both are right angles) Thus, △ABD ∼ △ACB (by AA similarity criterion) Similarly, we can prove △BCD ∼ △ACB. Thus △ABD ∼ △ACB, Therefore, AD/AB = AB/AC. We…

Pythagoras theorem can be proved in many ways. Some of the most common and widely used methods are the algebraic method and the similar triangles method. Let us have a look at both these methods individually in order to understand the proof of this theorem. Proof of Pythagorean Theorem Formula using the Algebraic Method The…

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB and AC are the sides and BC is the hypotenuse of the triangle, then: BC2 = AB2 + AC2​. In this case, AB is the base,…

Pythagoras theorem was introduced by the Greek Mathematician Pythagoras of Samos. He was an ancient Ionian Greek philosopher. He formed a group of mathematicians who works religiously on numbers and lived like monks. Finally, the Greek Mathematician stated the theorem hence it was named after him as the “Pythagoras theorem.” Though it was introduced many…

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2​​. Here, ​​​​AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to…

Pythagoras Theorem : The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle. Let us learn more about…