Question
A shelf with a triangular frame is fixed on a wall as shown below.
Image
The lengths of the rods used in the shaded triangular frame are 48 cm, 55 cm and 73 cm.
(i) What is the type of a shaded triangle?
(ii) What can be the height of the shelf?

Answer

(i) Since, the sides of triangle are 48 cm, 55 cm and 73 cm.
Thus, $(73)^2=48^2+55^2$
Thus, the shaded triangle is right angled triangle.
(ii) The height of shelf can be either 48 or 55 cm.

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