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Question

The base and height of a triangle are in  the ration 3 : 4 and its area is 216 cm2. The height of the triangle is

(a) 18 cm  (b) 24 cm  (c) 21 cm (d) 28 cm


Solution

Let assume base =3x

Height =4x

Area of triangle =12×base×height

=12×3x×4x=6x2

Area = 96

6x2=96

x2=966=16x=4

Base =3×4=12 cm

Height =4×4=16 cm


Mathematics
Secondary School Mathematics X
Standard X

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