The area of a triangle with ratio of 2:3:4 and a perimeter of 90 centimeter is 290. 47 centimetre squared.
The perimeter of a triangle is the sum of the whole sides of the triangle.
Therefore, the perimeter is given as follows:
perimeter = 90 cm
Hence, the sides can found as follows:
2 / 9 × 90 = 20 cm
3 / 9 × 90 = 30 cm
4 / 9 × 90 = 40 cm
Area = √s(s-a)(s-b)(s-c)
where
Hence,
s = 90 / 2 = 45
a = 20 cm
b = 30 cm
c = 40 cm
Therefore,
area of the triangle = √45(45 - 20)(45 - 30)(45 - 40)
area of the triangle =√45(25)(15)(5)
area of the triangle = √84375
area of the triangle = 290.473750966
area of the triangle = 290. 47 cm²
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