Mathematics
ABC is a triangle right angled at C and M is mid-point of hypotenuse AB. Line drawn through M and parallel to BC intersects AC at D. Show that : (i) D is mid-point of AC. (ii) MD is perpendicular to AC. (iii) CM = MA = AB
Related Questions
In △ABC, AB = AC. D, E and F are mid-points of the sides BC, CA and AB respectively. Show that :
(i) AD is perpendicular to FE.
(ii) AD and FE bisect each other.
In the following figure, l // m // n. If OC = OD = 5 cm, OA = 8cm and OE = 10 cm, find OB and OF.
In trapezium ABCD, AB // DC. M is mid-point of AD and N is mid-point of BC.
(i) If AB = 8 cm and DC = 11 cm, find MN.
(ii) If AB = 5.7 cm and MN = 6.2 cm, find DC.