any two right triangles with hypotenuse 5 cm are congruent state whether the statements are true explainwiyh reason
Answers
It need not be so since hypotenuse - 5 units could be got by adding any 2 decimal nos' square and not just 4&3
According to the Pythagorean theorem,
in a right-angled triangle, hypotenuse = √ height² + base² (always constant) so, when the hypotenuse is same then the height of one triangle must have to be equal with the base or height of the other triangle. In the same way the base of the triangle must have to be equal with the base or height of the other triangle. Hence, it is proved that they are congruent triangle and always it is by the S.A.S. condition of congruence. If, the triangles are seeming to be, as they are formed by cutting a rectangle or square diagonally then, it can be also told as the R.H.S. condition of congruence.