Advertisements
Advertisements
Question
The circumcentre of a triangle is the point which is ______.
Options
at equal distance from the three sides of the triangle.
at equal distance from the three vertices of the triangle.
the point of intersection of the three medians.
the point of intersection of the three altitudes of the triangle.
Solution
The circumcentre of a triangle is the point which is at equal distance from the three vertices of the triangle.
Explanation:
We know that,
The circumcenter of a triangle is equidistant from all three of its vertices.
This means that the distance from the circumcenter to each vertex is equal.
APPEARS IN
RELATED QUESTIONS
In Fig. 2, AB is the diameter of a circle with centre O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ.
In fig. a circle touches all the four sides of quadrilateral ABCD with AB = 6cm, BC = 7cm, CD = 4cm. Find AD.
A chord of a circle of radius 14 cm subtends an angle of 120° at the centre. Find the area of the corresponding minor segment of the circle. `[User pi22/7 and sqrt3=1.73]`
The greatest chord of a circle is called its
The length of three concesutive sides of a quadrilateral circumscribing a circle are 4 cm, 5 cm, and 7 cm respectively. Determine the length of the fourth side.
In the figure, O is the centre of a circle and diameter AB bisects the chord CD at a point E such that CE = ED = 8 cm and EB = 4 cm. The radius of the circle is
Find the diameter of the circle
Radius = 10 cm
If a number of circles pass through the endpoints P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.
In the following figure, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to ______.
In the following figure, O is the centre of the circle, BD = OD and CD ⊥ AB. Find ∠CAB.