Question

M,N & P are the mid-points of sides AB, AC & BC of a △ ABC respectively. If MN= 3 cm, NP= 3.5 cm and MP= 2.5 cm, calculate BC, AB & AC respectively.

If △ ABC & △ DEF are two triangles such that AB, BC are respectively equal and parallel to DE, EF, then show that

ABCD is a rhombus and P,Q,R,S are mid-points of AB, BC,CD and DA respectively. Prove that quadrilateral PQRS is a rectangle.

In the middle of the city, there was a park ABCD in the form of a parallelogram form so that AB = CD, AB||CD and AD = BC, AD||BC. Municipality converted this park into a rectangular form by adding land in the form of △APD and △BCQ. Both the triangular shape of land were covered by planting flower plants.