the sides of a triangle is in the ratio of 3:4:5. The area of the right angled triangle is 96 square centimeters. find the perimeter of the triangle
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Step-by-step explanation:
Consider
the sides of the triangle ABC be 4 x, 5
x and 3x
AB = 4x, AC = 5x and BC = 3x
Perimeter = 4x + 5x + 3x = 96
12 x=96
96
X = 12
x = 8
Sides are BC = 3(8) = 24cmAB=
4(8) = 32cm,
= 5(8) = 40cm AC
(AC)? = (AB)? + (BC)*[(5x)? = =
(3x)2 + (4x)?]
semi-perimeter of triangle = perimeter/2
= 96/2
= 48cm.
acc. to heron's formula, area of triangle
V48(48 – 32)(48 – 40)(48 – 24)
= [404cm2]
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