Question

Give the statement of the Pythagoras theorem.

Answer 1

State Pythagoras Theorem:

Pythagorean theorem states that the sum of the squares of the two sides adjacent to the right angle of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle).

Consider $∆PQR$ is right-angled at $Q$.

$PR$ is the hypotenuse and $PQ$ and $QR$ are the remaining two sides.

then, ${\left(PR\right)}^2=P{Q}^2+Q{R}^2$

Let $PR=h,PQ=p$ and $QR=b$.

Then according to Pythagoras theorem,

$h^2=p^2+b^2$

Hence, Pythagoras' theorem states that $h^2=p^2+b^2$.