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.
Given
Area of triangle = 1350 m2
Let the length of the height of triangle be Y cm
Therefore its base is 3Y cm
Area of the triangle = × base × height = 1350
× (3Y) × (Y) = 1350
3Y2 = 1350 × 2 = 2700
Y2 = = 900
Y = 30 cm
Therefore height of triangle is 30 cm and base is 3×30 = 90cm
That is
.