Mathematics
In an equilateral triangle, prove that the centroid and the circumcentre of the triangle coincide.
Related Questions
In the given figure, L and M are mid-points of two equal chords AB and CD of a circle with centre O. Prove that :
(i) ∠OLM = ∠OML
(ii) ∠ALM = ∠CML
In the given figure, AB and AC are equal chords of a circle with centre O and OP ⟂ AB, OQ ⟂ AC. Prove that PB = QC.
If a chord is at a distance of 8 cm from the centre of the circle of radius 17 cm, then the length of the chord will be :
15 cm
20 cm
30 cm
45 cm
A chord of length 40 cm is drawn at a distance of 15 cm from the centre of a circle, then the radius of the circle will be :
12 cm
15 cm
17 cm
25 cm