Question

In triangle Pqr, angle q is 90degree,
qm is the median prove qm is half of pr

Answer 1

Answer:

pqr is a right triangle

if pq is the base

qr is the height

pr is the hypotenuse

the ratio of the sides to its opposite angles are directly proportional

q is the angle opposite to side pr

q is the large angle (90°)= pr is the longest side ( hypotenuse )

qm is the median

that means it bisects pr at m

then we will get two right triangles

pmq = 45°

mpq = 90°

pqm = 45°

here qm is the side opposite to the

angle p

p = 45° ( half of 90° )

consider the ratio theory

qm is falf of qr

sorry for long answer...