CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Draw a triangle with two sides equal to 4 cm and 5 cm and the angle between them is 90. Then the circumcentre of this triangle lies on the third side.


    Open in App
    Solution

    Draw triangle ABC with the given specifications, AB=4 cm, AC = 5 cm and BAC = 90.

    Draw perpendicular bisectors of sides AB and AC, they meet at O. Join OB.

    So, O is the centre and OB is the radius of the circumcircle of ABC.

    From the above constructions we see that the circumcentre O lies on the third side BC of ABC.

    Hence the given statement is true.


    flag
    Suggest Corrections
    thumbs-up
    1
    Join BYJU'S Learning Program
    similar_icon
    Related Videos
    thumbnail
    lock
    Circumcentre
    MATHEMATICS
    Watch in App
    Join BYJU'S Learning Program
    CrossIcon