Question

The perimeter of a triangular field is 180m and its sides are in the ratio of 5:6:7.Find the area of the triangle

Answer 1

Answer:

Step-by-step explanation:

Let the 3 sides be 5x, 6x and 7x

perimeter = 180m

therefore,

perimeter = sum of all sides

180 = 5x + 6x + 7x

180 = 18x

x=180/18

x = 10

5x = 5×10 = 50m

6x = 6×10 = 60m

7x = 7×10 = 70m

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Answer 2

Step-by-step explanation:

Let side of the park be, a=5x,b=6x,c=7x

also, 2s=180m,

s=90m

now, a+b+c=180

5x+6x+7x=180

x=10

∴a=50m,b=60mbc=70m

Area of park=

90(90−50)(90−60)(90−70)

=

90×40×30×20

=

3×30×2×20×30×20

=20×30

6

=600

6

m

2