Fins a,b and c if the perimeter of the triangle is 36 cm and its sides are in ratio a:b:c=3:4:5
Answers
Answered by
3
Step-by-step explanation:
Perimeter of the triangle = 36 cm
Ratio of the sides,
a : b : c = 3 : 4 : 5
To find : The lengths of sides a,b and c.
Let the sides be a(x), b(x) and c(x).
A/Q,
Perimeter of a triangle = Sum of all sides
=> 36 = (ax + bx + cx)
=> 36 = x (a + b + c)
=> 36 = x (3 + 4 + 5) ------->[from given]
=> 36 = x (12)
=> 36 = 12x
=> x = 3
Now,
Side a = a(x)
= 3×3
=9 cm
Side b = b(x)
= 4×3
= 12 cm
Side c = c(x)
= 5×3
= 15 cm
Therefore , Sides af the triangle are
9cm, 12cm and 15cm.
Answered by
0
Step-by-step explanation:
let the sides of triangle be 3x, 4x and 5x
perimeter = sum of sides
⇒3x+4x+5x = 36cm
⇒12x = 36cm
⇒x =
⇒x = 3
so the sides are 3×3 = 9cm, 4×3 = 12 cm, 5×3 = 15cm
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