Question

PQR is an isosceles triangle in which altitudes QM and RN are drawn toequal sides PR and PQ respectively. Show that these altitudes are equal​

Answer 1

Answer:

prove first triangles NQR and MQR are congruent

QR=QR (, common to both the triangles,)

angle NQR = MRQ

angle QNR=QMR=90 degree

So by ASA criterion both the triangles are congruent

Therefore QM=RN