the perimeter of a triangular field is 300 cm and and its sides are in the ratio 5 :12:13.find the length f the perpendicular from the opposite vertex to the side whose length is 130 cm.

Given, perimeter of a triangle = 300 cm and ratio of the sides be 5 : 12 : 13.

Let the sides of the triangle are x cm.

∴ 5x + 12x + 13x = 300

⇒ 30x = 300

⇒ x = 10 cm

∴ Sides of the triangle are 50 cm, 120 cm and 130 cm.

So,semi-perimeter, 

Hence, the length of the perpendicular from the opposite vertex to the side whose length is 130 is