The lengths of sides containing the right angle of a right-angled triangle are given. Describe the procedure of construction of the circumcircle of the triangle.
WBBSE
Class X
Mathematics
Construction of Circumcircle and Incircle
05 Mark
2022
Given: The two legs (sides containing the right angle) have known lengths.
Construction:
- Draw AB equal to one given leg.
- At A, construct a line perpendicular to AB. On this perpendicular, mark AC equal to the other given leg.
- Join BC to form right â–³ABC with the right angle at A.
- Construct the perpendicular bisector of BC to locate M, the midpoint of the hypotenuse BC.
- With center M and radius MB (or MC), draw a circle. This circle passes through A, B, and C — the circumcircle.
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