The length of the sides of an isosceles triangle are in the ratio 3:3:5. The length of the equal sides of the triangle is 6.6cm. What is the perimeter of the triangle?
Answers
Let 'a', 'b' and 'c' be the measures of the sides of the triangle.
a = b = 6.6 cm
Let 'a' and 'b' be the equal sides.
Let 3 : 3 : 5 = a : b : c
Let 'x' be the common multiple.
3x : 3x : 5x = a : b : c
perimeter(∆)
= a + b + c
= 3x + 3x + 5x
= 6.6 + 6.6 + 5x
= 13.2 + 5x
13.2 + 5x = 3x + 3x + 5x
6x = 13.2
x = 2.2
a = b = 6.6 cm
c = 5x = 5 x 2.2 = 11
perimeter(∆) = a + b + c = 6.6 + 6.6 + 11
perimeter(∆) = 24.2 cm
Hence, perimeter of the triangle is 24.2 cm
Answer:12.1cm
Step-by-step explanation:
Let both the equal sides be 3x
Let the base be 5x
Therefore,3x+3x=6.6
=>6x=6.6
=>x=(66/10)*(1/6)
. =>x=11/10
3x=3*x=3*(11/10)=33/10
5x=5*x=5*(11/10)=55/10
Perimeter=5x+3x+3x
. =33/10+33/10+55/10
=121/10
. =12.1cm