Question

In the given figure, if D is the mid-point of the hypotenuse AC of right AABC, then BD is equal to (1) 5 cm (3) 2 cm (2) 2.5 cm (4) 3 cm​

Answer 1

Answer:

Area of triangle ABD = Area of trinagle BCD

⟹21DB.DA=21DB.DC   [Area of triangle =21×b×h]

⟹DA=DC

∵  Circumradius R=4△AB×BC×AC

                           =4×21×AB×BCAB×BC×AC

                      ⟹BD=R=2AC  [∵Circumradius (R)=BD]

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