# The perimeter of triangle is 288m and the ratio of sides is3:4:5 . Find the area of the triangle

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by meenaljeirna

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by meenaljeirna

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let a= 3x b = 4 x c = 5 x where x is some number

a+b+c = x(3+4+5) = 12 x So 12 x = 288 meters

x = 24 meters

So a = 72 m b = 96 m c = 120 meters

If the sides of a triangle are in the ratio of 3 : 4 : 5, then it is a right angle trianlgle.

Its area is 1/2 a b . (a, b are smaller sides. c hypotenuse)

So Area = 1/2 72 * 96

IF the sides are not in a right angle triangle, the n find s and use formula for area

now ,a/q,

3x+ 4x+5x = 288

⇒12x= 288

⇒x= 24

so, length are 72 m, 96 m and 120 m

now we can see that, (120)² = (72)²+ (96)²

so. by Pythagoras theorem , this triangle is right angled triangle,

120 is the length of hypotenuse ,

area = 1/2 ×(96×72)

=3456 m²