Question

In the figure PQ =24, OR =26, angle PAR =90॰, PA =6, AR = 8 . Find angle QPR.FIGURE IS NOT GIVEN.
PLEASE DRAW THE DIAGRAM YOURSELF ​

Answer 1

$\huge{\mathfrak{\underline{\red{Answer!}}}}$

triangle par is a right angled triangle right angled at a

therefore pr^2 = pa^2 + ar^2 by pythagoras theoram

pr^2 = 36 + 64

pr ^2 = 100

pr = 10

now in triangle pqr, pq^2 + pr^2 = 576 + 100 = 676

also qr^2 = 26^2 = 676

therefore pq^2 + pr^2 = qr^2

therefore by converse of pythagoras theoram

angle p or angle qpr = 90