Question

If $h$ stands for the hypotenuse, $a$ and $b$ stand for the perpendicular sides of a right-angled triangle, then which of the following is true?

• 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 $h^2=a^2+b^2$



According to Pythagoras' theorem, in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two (perpendicular) sides.

Since $a$ and $b$ stand for the perpendicular sides, and $h$ stands for the hypotenuse in the given right-angled triangle, we have
$h^2=a^2+b^2.$