Question

The perimeter of a triangular field is 144 m and it's sides are in the ratio
3: 4: 5. Find the length of the perpendicular towards the longest side of the
triangular field.​

Answer 1

Let the sides of the triangle be

• 3x, 4x and 6x

Perimeter = 144 m

As we know,

$perimeter = side + side + side$

$144 = 3x + 4x + 5x$

$144 = 12x$

$x = \cancel \frac{144}{12}$

$x = 12$

Therefore the sides are

• 3x = 3(12) = 36 m
• 4x = 4(12) = 48 m
• 5x = 5(12) = 60 m