 Hi and welcome to the session. I am Asha and I am going to help you with the following question which says two sides ABNBC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of triangle PQR. Show that first triangle ABM is congruent to triangle PQN and second is triangle ABC is congruent to triangle PQR. So we are given in triangle ABC and triangle PQR side AB is equal to PQ, side BC is equal to QR and the median AM of triangle ABC is equal to median PN. And first we have to show that triangle ABM is congruent to triangle PQN. Now in triangle ABN and triangle PQN AB is equal to PQ, this is given to us and BM is equal to half of BC since AM is a median so it divides the side BC into two equal parts and we have BM is equal to MC is equal to half of BC. Now we are given that BC is equal to QR so this is given as half of QR and half of QR is equal to QN since again median and this implies that QN is equal to NR is equal to half of QR. Thus we have BM equal to QN and also we have AM is equal to PN that is a median of both the triangles are equal this is also given to us. So let us be one this point be two and this be three. Now with the help of equation one, two and three we can say that triangle ABM is congruent to triangle PQN by SSS congruence. That is in two triangles is the three sides of one triangle are equal to three sides of other triangle then by side side side congruence both the triangles are congruent. So this proves the first part. Now in the second part we have to show triangle ABC is congruent to triangle PQR. Now in triangle ABC and triangle PQR AB is equal to PQ let this be four and this is given to us also angle B is equal to angle Q and let this be equation number five and this is because triangle ABM is congruent to triangle PQN and this implies angle B is equal to angle Q by CPCT that is if two triangles are equal then their corresponding parts are also equal. That is angle B is equal to angle Q BC is equal to QR and let this be equation number six and this is also given to us and thus from by side angle side congruence we can see that triangle ABC is congruent to triangle PQR and thus we have shown first part that triangle ABM is congruent to triangle PQN and triangle ABC is congruent to triangle PQR. So this completes the session take care and bye for now.