Pythagoras Theorem Questions
Here are some practice questions on the Pythagoras theorem for you to solve.
Q1: If the two shorter sides of a right angled triangle measures 14 and 15 cm, find the length of the longest side.
Q2: If the hypotenuse and perpendicular of a right angled triangle are 5 and 4 cm then find the base.
Q3: In a triangular field the sides measures 24 cm, 7 cm and 25 cm then prove that field is the form of a right triangle.
Q4: A wall is of 12 m height and a ladder of 13 m is placed against it touching its top. Find the distance between the foot of the ladder and the wall.
Pythagoras Theorem | Formula, Proof and Examples
Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The theorem can be expressed as r2 = p2 + q2, where ‘r’ is the hypotenuse and ‘p’ and ‘q’ are the two legs often called perpendicular and base of the triangle.
Pythagoras Theorem explains the relationship between the three sides of a right-angled triangle and helps us find the length of a missing side if the other two sides are known. It is also known as the Pythagorean theorem.
In this article, we will learn about the Pythagoras theorem statement, its formula, proof, examples, applications, and converse of Pythagoras theorem in detail.