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Question

One side of a rhombus is 20 cm long and one of its diagonals measures 24 cm. The area of the rhombus is

(a) 192 cm2  (b) 480 cm2 (c) 240 cm2 (d) 384 cm2


Solution

Diagonal d1=24 cm, Length of side s=20 cm, Diagonal d2=x.

By Pythagoras’ Theorem, 

202=(d12)2+(x2)2

400=(242)2+(x2)2

400=144+(x2)2

x2=(4)(400144)=(4)(256)

x=32cm

Diagonal d2=32cm.

Area of rhombus  =12×24×32=384 cm2.


Mathematics
Secondary School Mathematics X
Standard X

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