Question

State the necessary condition for the following statement to be true:
'Square of the longest side of a triangle is equal to the sum of squares of other two sides of the triangle.'

• A. The triangle should be isosceles.
• B. The triangle should be scalene.
• C. The triangle should be right-angled.
• D. The triangle should be equilateral.

Answer 1

The correct option is C The triangle should be right-angled.

Given statement is Pythagoras' theorem and holds true only for right angled triangle. Hence, a triangle should be right-angled if the square of the longest side(hypotenuse) is equal to the sum of the squares of other two sides of triangle.