How does the length of the hypotenuse in a right triangle compare to the lengths of the legs?
A right-angled triangle has one angle equal to 90º and the other two angles are acute angles.
Answer: The squared hypotenuse is equal to the sum of squares of adjacent and opposite legs.
Let's see in detail.
Let ABC be any right-angled triangle
AB is the adjacent side,
BC is the opposite side and
AC is the longest side (hypotenuse).
According to the Pytagoras theorem,
(Hypotenuse)2 = (adjacent)2 + (opposite)2
⇒ (AC)2 = (AB)2 + (BC)2