Question

Mark (✓) against the correct answer:
The length of a rectangle is 8 cm and each of its diagonals measures 10 cm. The breadth of the rectangle is
(a) 5 cm
(b) 6 cm
(c) 7 cm
(d) 9 cm

Answer 1

(b) 6 cm
Let the breadth of the rectangle be x cm.
Diagonal =10 cm
Length= 8 cm
The rectangle is divided into two right triangles.
$$\begin{gathered} Diagona{l}^2=Lengt{h}^2+Breadt{h}^2 \\ {10}^2=8^2+x^2 \\ 100-64=x^2 \\ {x}^2=36 \\ x=6cm \end{gathered}$$

Breadth of the rectangle = 6 cm