Question

the side of a triangle are in the ratio 1:1.5:2 & it's perimeter is 18 cm. find find the length of each side.
Answer it fastly​

Answer 1

Given:–

• Ratio of sides of triangle = 1:1:5:2

• Perimeter of the triangle = 18cm

To find:–

• Length of each side of triangle

Assumptions:–

• Let ratio be y

As we know:–

• Sum of ratios = Perimeter of triangle

Step by step explaination:–

Putting values of the given statement...

That is,

1(y) + (1.5)y + 2(y) = 18

4.5y = 18

y = 18/4.5

y = 4cm

Now calculating length of each side...

That is,

1y , 1.5y , 2y

1×4 , 1.5×4 , 2×4

4 , 6 , 8

Answer:–

Length of sides of triangle are 4cm , 6cm , 8cm.

Answer 2

$\begin{gathered}\begin{gathered}\bf \: Given \:  - \begin{cases} &\sf{sides \: are \: in \: the \: ratio \: 1 : 1.5 :2 } \\ &\sf{perimeter \: = \: 18 \: cm} \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf \: To \: find \:  - \begin{cases} &\sf{sides \: of \: triangle}  \end{cases}\end{gathered}\end{gathered}$

$\large\underline\purple{\bold{Solution :- }}$

Given that

• Sides of a triangle are in the ratio 1 : 1.5 : 2

and

• Perimeter of Triangle is 18 cm.

Let sides of triangle represented by a, b, c respectively.

So,

$\begin{gathered}\begin{gathered}\bf \: Sides \: are \:  - \begin{cases} &\sf{a \: = \: x} \\ &\sf{b \: = \: 1.5x}\\ &\sf{c \: = \: 2x} \end{cases}\end{gathered}\end{gathered}$

Now,

We know,

$\underline{\boxed{ \purple{\rm \: Perimeter \ of \ a \ triangle=a+b+c}}}$

$\rm :  \implies \:x + 1.5x + 2x = 18$

$\rm :  \implies \:4.5x = 18$

$\rm :  \implies \:x \: = \: 4 \:$

Hence,

$\blue{\begin{gathered}\begin{gathered}\bf \: Sides \: are \:  - \begin{cases} &\sf{a \: = \: x = 4 \: cm} \\ &\sf{b \: = \: 1.5x \: = \: 1.5 \times 4 = 6 \: cm}\\ &\sf{c \: = \: 2x = 2 \times 4 = 8 \: cm} \end{cases}\end{gathered}\end{gathered}}$