Question

* The sides of triangle are in a ratio of 25: 14:12 and its
perimeter is 510 m
The greatest side of the triangle is:

Answer 1

Answer:

250 m

Step-by-step explanation:

25+14+12=510

51 x = 510

x = 510/51 = 10

x = 10

so, greatest side off of triangle is 25x

25x = 25* 10 = 250 m

Answer 2

Given :

• Sides of a triangle are in ratio of 25:14:12

• Perimeter of triangle is 510 m

What To Find :

• Greatest side of the triangle

Solution :

Let the sides of triangle be denoted as 25x , 14x and 12x

Perimeter = Sum of all sides

510 = 25x + 14x + 12x

510 = 39x + 12x

510 = 51x

x = 510 ÷ 51

x = 510/51

x = 10

The sides of a triangle are :

• 25x = 25 × 10 = 250 m

• 14x = 14 × 10 = 140 m

• 12x = 12 × 10 = 120 m

The lengths of sides are 250 m , 140 m and 120 m

Hence , the greatest side of triangle is 250m