CBSE Class 9 Answered
prove that the median bisecting the hypotenuse of a right angled triangle is half of the hypotenuse
Asked by geetaradha8835 | 16 Dec, 2022, 07:59: PM
Expert Answer
Let ΔABC be right angled triangle and 
B is right angle. Let us draw a circucm circle for the ΔABC.
B is right angle. Let us draw a circucm circle for the ΔABC. Let us draw the median OB so that AO = OC . AC is diameter of circumcircle and also AC is hypotenuse of ΔABC .
OA , OB and OC are radii of the circle .
OB = OA = (1/2) AC
Hence median of right angled triangle that bisects the hypotenuse is half of hypotenuse
Answered by Thiyagarajan K | 20 Dec, 2022, 10:25: PM
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