The points and are two vertices of a triangle

MATHEMATICS · Subjective · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

The points

P(2,0)

and

Q(8,0)

are two vertices of a triangle. The third vertex is

R(5,y)

with

y>0

. If the perimeter of

\triangle PQR

20

units, determine the value of

y