The ratio of the three sides of triangle is 2:4:2 and the perimeter of triangle is 3600 cm. Find the side of the side?
Answers
In ΔABC
AB = 2x
BC = 4x
AC = 2x
Perimeter = 2x + 4x + 2x = 3600
8x = 3600
x = 450
AB = 2x 450 = 900cm
BC = 1800cm
AC = 900cm
The sides of the triangle are 900cm, 1800cm, and 900cm
Explanation:
Given:
1. The ratio of the three sides of a triangle is 2:4:2
2. The perimeter of a triangle is 3600 cm.
To find:
The sides of the Triangle
Formula:
The Perimeter of Triangle = Sum of the sides
Solution:
==> Three sides are a,b, and c
==> The ratio of triangle is 2:4:2
==> Side a = 2x
==> Side b = 4x
==> Side c = 2x
==> Perimeter = 3600 cm
==> Perimeter = a+b+c
==> 3600 = a+b+c
==> 3600 = 2x+4x+2x
==> 3600 = 8x
==> 8x = 3600
==> x = 3600÷8
==> x = 450
==> Side a = 2(450)
==> Side a = 900 cm
==> Side b = 4(450)
==> Side b = 1800 cm
==> Side c = 2(x)
==> Side c = 900 cm
==> The sides of the triangle are 900cm, 1800cm, and 900cm