Question

in triangle pqr qm = mr and qm = mp show that angle prq is right angle​

Answer 1

hey buddy

so here is your answer

given -

PM=QM

RM=QM

to prove -

Triangle PQR is a aright angled triangle

proof -

now see buddy

sides opposite to equal angles are equal in length

now in triangle PQM

PM=QM

then angle QPM=angle PQM=x     (let us assume these angles to be x)

now in triangle RQM

QM=RM

then angle QRM= angle RQM=y         (let us assume these angles to be y)

now see the total triangle PQR

then we know

angle p+ angle Q+ angle R=180        (angle sum property)

=x+y+x+y=180

=2(x+y)=180

then x+y=90

here x+y also represents angle PQM+angle RQM

then angle Q of the triangle PQR is a right angled

Hence triangle PQR is a right angled triangle

Hope this helps buddy

mark the brainliest.