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the length of its side of a triangle are in ratio 3:4:5 and its perimeter is 1444 cm find the area of the triangle ,and the height corresponding to the longest side

Note that 3² + 4² = 5², so it is a right triangle.

perimeter = 3x + 4x + 5x = 1444

x = 361/3

base = 361 cm

height = 1444/3 cm

hypotenuse = 1805/3 cm

area = (1/2)(base)(height) = 86,880⅔ cm²

cosθ = (3x)/(5x) = h/(4x)

h = 12x/5 = 288.8 cm

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