Qn.22 Circumcentre of a right triangle is mid-point of its hypotenuse. True or False​

Question

Qn.22 Circumcentre of a right triangle is
mid-point of its hypotenuse.
True
or False​

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Mackenzie 1 week 2021-09-09T13:31:52+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-09T13:33:03+00:00

    True

    Right Answer……….

    0
    2021-09-09T13:33:45+00:00

    Answer:

    The circumcenter of a right triangle is the midpoint of the hypotenuse. To prove this, consider the triangle ABO, where: O=(0,0) A=(2a,0) B=(0,2b) M=(a,b) Notice that M is the midpoint of the hypotenuse AB.

    Step-by-step explanation:

    Thus, M is equidistant from the vertices, so it is the circumcenter of OAB.

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