Mathematics
In the following figure, M is the mid-point of BC of a parallelogram ABCD. DM intersects the diagonal AC at P and AB produced at E. Prove that : PE = 2PD.
![In the figure, M is the mid-point of BC of a parallelogram ABCD. DM intersects the diagonal AC at P and AB produced at E. Prove that : PE = 2PD. Similarity, Concise Mathematics Solutions ICSE Class 10.](https://cdn1.knowledgeboat.com/img/cm10/q9-c15-ex-15-b-similarity-concise-maths-solutions-icse-class-10-1200x716.png)
Related Questions
In the figure, given below, AB, CD and EF are parallel lines. Given AB = 7.5 cm, DC = y cm, EF = 4.5 cm, BC = x cm and CE = 3 cm, calculate the values of x and y.
In the figure, given below, PQR is a right-angled triangle at Q. XY is parallel to QR, PQ = 6 cm, PY = 4 cm and PX : XQ = 1 : 2. Calculate the lengths of PR and QR.
The given figure shows a parallelogram ABCD. E is a point in AD and CE produced meets BA produced at point F. If AE = 4 cm, AF = 8 cm and AB = 12 cm, find the perimeter of the parallelogram ABCD.
In the given figure, AE = 5 cm and EC = 7 cm, then area of △ ADE : area of △ ABC is :
5 : 7
7 : 5
25 : 144
144 : 25