Question

In a right angled triangle, which of the following is true? (h=hypotenuse, a and b are the perpendicular sides)

• A. h = a+b
• B. $h^2=a^2+b^2$
• C. $h^2+b^2=3a^2$
• D. $h^3=3(a^3+b^3)$

Answer 1

The correct option is B $h^2=a^2+b^2$

Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides i.e., $h^2=a^2+b^2$