There are three fundamental properties of a right triangle when its angle is zero degrees.
$\Delta MON$ is a right triangle and it contains an angle of $0^°$. According to Pythagorean Theorem, the sum of three interior angles of a triangle is $180^°$ geometrically. An angle is $0^°$ and other angle is $90^°$ in the case of right triangle $MON$. So, the third interior angle should be $90^°$.
$\angle MON + \angle ONM + \angle NMO = 180^°$
$\implies 0^° + \angle ONM + 90^° = 180^°$
$\implies \angle ONM = 180^° – 90^°$
$\,\,\, \therefore \,\,\,\,\,\, \angle ONM = 90^°$
Theoretically, it is proved that two angles are right angles when the angle of a right angled triangle is $0^°$.
Assume, the length of adjacent side of this triangle is denoted by $d$.
Zero angle is possible geometrically in a right triangle when its length of opposite side is equal to zero.
$Length \, of \, Opposite \, side$ $\,=\,$ $0$
$\implies$ $MN$ $\,=\,$ $0$
Due to zero length of opposite side, the length of hypotenuse is absolutely equal to the length of hypotenuse. So, remember this property when angle of right triangle is zero.
$\,\,\, \therefore \,\,\,\,\,\,$ $Length \, of \, Adjacent \, side$ $\,=\,$ $Length \, of \, Hypotenuse$ $\,=\,$ $d$
A right triangle is required to construct with zero angle for proving all its properties geometrically.
A right triangle ($\Delta RPQ$) is constructed with zero degrees angle. Now, it is time to study the properties of right angled triangle when its angle is zero.
Therefore, it is proved that the length of opposite side is zero and the length of adjacent side is equal to length of hypotenuse when angle of right triangle is zero.
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