Question

The base and height of a triangular field are in the ratio 3:4 and its area is 1014 cm square find its base and height

Answer 1

sol: let ratio of base and height= 3x and 4x
ar of triangle = 1/2 into base into height
$1014 = 1 \div 2 \times 4x \times 3x \\ 1014 = 1 \div 2 \times 12x \\ 1014 = 1 \div 2 \times 12x \\ 1014 = 6x \\ 1014 \div 6 = x \\ 169 = x \\ 3x = 169 \times 3 = 507 \\ 4x = 4 \times 169 = 676$