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Question

The base of a triangular field is three times its height and its area is 1350 m2. Find the base and height of the field.


Solution

Let the base of the triangular field be 3x m and its height be x m.

Then, area of the triangle =12×base×height=12×3x×xm2
=3x22 m2
But it is given that the area of the triangular field is 1350 m2.
3x22=1350

3x2=1350×2

x2=900

x=900

x=30 m
Hence, the height of the field is 30 m.

Its base =3×30m=90 m


Mathematics
RS Aggarwal (2016)
Standard VIII

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