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.
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