Mathematics
In a scalene triangle ABC, AD and BE are medians. F is a point on AC so that DF//BE. Show that : AC = 4 x EF.
Related Questions
In a kite shaped figure ABCD, AB = AD and CB = CD. Points P, Q and R are mid-points of sides AB, BC and CD respectively.
Prove that :
(i) ∠PQR = 90°
(ii) Line through P and parallel to QR bisects side AD.
P, Q, R and S are the mid points of sides AB, BC, CD and DA respectively of rhombus ABCD. Show that PQRS is a rectangle.
Under what condition will PQRS be a square ?
Show that the quadrilateral formed by joining the mid-points of the adjacent sides of a square, is also a square.
ABC is an isosceles triangle with AB = AC = 13 cm and BC = 10 cm. Calculate the length of the perpendicular from A to BC.