Question

In triangle PQR PQ=24cm,QR=10cm,PR=26cm.
can the triangle PQR a right triangle ?justify your answer

Answer 1

$24 {}^{2} + 10 {}^{2} = 26 {}^{2} \\ 576 + 100 = 676 \\ thats \: why \: we \: can \: say \: that \: pqr \: is \: a \: right \: angle \: triangle$

Answer 2

PR$x^{2}$=PQ$x^{2}$+QR$x^{2}$
26$x^{2}$=24$x^{2}$+10$x^{2}$
676=576+100
676=676
therefore it is right angled triangle
since it proves pythagores theroum
so its is right angled triangle