Question

Two triangles ABC and PQR are congruent triangles such that AABC = AQPR by RHS congruence criterion. If smaller sides of AABC are 5 cm and 12 cm and B=90", then find the length of side QR.​

Answer 1

13 cm

Given ,

smaller sides of triangle ABC are 5cm and 12cm

and angle B is 90 degrees

and triangle ABC and triangle PQR are congruent

so by cpct

ANGLE B = ANGLE P = 90°

AND SMALLER SIDES OF TRIANGLE PQR ARE 5 cm AND 12 cm

SO BY PYTHAGORAS THEOREM

${5}^{2} + {12}^{2} = {qr}^{2}$

${5}^{2} = 25$

${12}^{2} = 144$

so

${qr}^{2} = 169$

QR =

$\sqrt{169}$

QR =

$13$