Question:
Length of one of the diagonals of a rectangle whose sides are 10 cm and 24 cm is
(a) 25 cm
(b) 20 cm
(c) 26 cm
(d) 3.5 cm
Solution:
(c) 26 cm
PQRS is a rectangle,
Where SR = 24 cm, QR = 10 cm
Now, consider the triangle QRS
From the rule of Pythagoras theorem,
QS2 = SR2 + QR2
QS2 = 242 + 102
QS2 = 576 + 100
QS2 = 676
QS = √676
QS = 26 cm