If the lengths of sides of triangle are 6 cm, 8 cm, and 10 cm, then let us write where the circumcentre of this triangle lies.

AD is the median and G is the centriod of an equilateral triangle. If the length of side 3√3 m, then let us write the length of AG.

Let us write what is the length of circum radius of a triangle lengths of sides of which are 6 cm, 8 cm and 10 cm.

If the length of circum radius of a right-angled triangle is 10 cm, then let us write how much length of hypotenuse of triangle is.

I draw an obtuse angled triangle and let us prove that the perpendicular bisectors of sides are concurrent. Let us write where the circumcentre lies (inside/outside/on the side) of the triangular region.

Rita draws a right angled triangle. Let us prove logically that the perpendicular bisectors of sides are concurrent and where the position of the circum centre (inside/outside/on the side) is

DEF is a pedal triangle of an equilateral triangle ABC. Let us write the measure of ∠FDA

If the length of circumradius of a right angled triangle is 5 cm, then the length of hypotenuse is

AD, BE and CF are the medians of ΔABC. If AD = BC, then let us prove that the angle between two medians is 90°.

AD, BE and CF are three medians of ΔABC. Let us prove that

(i) 4 (AD + BE + CF) > 3 (AB + BC + CA)

(ii) 3(AB + BC + CA) > 2(AD + BE + CF)

Three medians AD, BE and CF of ΔABC intersect each other at the point G. If area of ΔABC is 36 sq. cm, let us calculate.

(i) Area of ΔAGB

(ii) Area of ΔCGE

(iii) Area of quadrilateral BDGF.