Chapter 2 – Pythagoras Theorem- Text Book Solution
Problem Set 2 | Q 1.4 | Page 43
If a, b, c are sides of a triangle and a2 + b2 = c2, name the type of triangle.
(A) Obtuse angled triangle (B) Acute angled triangle
(C) Right angled triangle (D) Equilateral triangle
Solution:– In a triangle, if the square of one side is equal to the sum of the squares of the remaining two sides, then the triangle is a right angled triangle.Hence, the correct option is Right angled triangle
Explanation:-
The equation a^2 + b^2 = c^2 represents the Pythagorean theorem, which is applicable only to right-angled triangles. Therefore, the correct answer is (C) Right angled triangle.
In a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is called the Pythagorean theorem, and it is the basis for determining if a triangle is a right angled triangle or not.
An obtuse angled triangle has one angle greater than 90 degrees, whereas an acute angled triangle has all angles less than 90 degrees. An equilateral triangle has all sides and angles equal. However, none of these properties are related to the given equation a^2 + b^2 = c^2, which is only applicable to right angled triangles.
Chapter 2 – Pythagoras Theorem- Text Book Solution
Problem Set 2 | Q 1.4 | Page 44