Question

The sides of a triangle are in the ratio 3:5:6. If the perimeter of the triangle is 24 cm, find the length of each side.

Answer 1

Answer:

5.1 cm,8.5 cm and 10.cm

Step-by-step explanation:

Let the side be 3x,5x and 6x.

So, 3x+5x+6x=24

⇒14x=24

⇒ x=24/14

⇒x=1.7 (approx.)

3x=3×1.7=5.1

5x=5×1.7=8.5

6x=6×1.7=10.2

Hence, length of each side are 5.1 cm,8.5cm and 10.2 cm.

Answer 2

${\LARGE{\underline{\red{\bf{Question}}}}}$

The sides of a triangle are in the ratio 3:5:6. If the perimeter of the triangle is 24 cm, find the length of each side.

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\Large{\underline{\green{\bf{Required\:Answer}}}}}$

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\large{\underline{\underline{\orange{\sf{Given}}}}}}$

• Given ratio=3:5:6

• Perimeter=24cm

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\large{\underline{\sf{To\:Find}}}}$

${\tt{Length\:of\:each\:Side=?}}$

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\large{\underline{\bf{Formula\:using}}}}$

${\large{\underline{\boxed{\red{\sf{perimeter_{(triangle)}=x+x+x}}}}}}$

${\large{\underline{\sf{Here}}}}$

• x=side of triangle

${\large{\underline{\bf{To\:Suppose\:3:5:6}}}}$

• 3=3x
• 5=5x
• 6=6x

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

$\begin{gathered} \\ \qquad{\rule{150pt}{1pt}} \end{gathered}$

${\pink{\dashrightarrow}{\qquad{\sf{perimeter_{(triangle)}=x+x+x}}}}$

${\pink{\dashrightarrow}{\qquad{\sf{24=3x+5x+6x}}}}$

${\pink{\dashrightarrow}{\qquad{\sf{24=14x}}}}$

${\pink{\dashrightarrow}{\qquad{\sf{x=\dfrac{24}{14}}}}}$

${\pink{\dashrightarrow}{\qquad{\boxed{\purple{\sf{x=1.71}}}}}}$

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

~Therefore

${\large{\underline{\sf{Values}}}}$

${\sf{1st\:Side=3 \times 1.71}}$

${\sf{1st\:Side=5.13cm}}$

${\sf{2nd\:Side=5 \times 1.71}}$

${\sf{2nd\:Side=8.55cm}}$

${\sf{3rd\:Side=6 \times 1.71}}$

${\sf{3rd\:Side=10.26cm}}$

Note-The values given above are approximate.

$\begin{gathered} \\ {\underline{\rule{200pt}{3pt}}} \end{gathered}$

${\qquad{\qquad{\qquad{\qquad{\qquad{\qquad{\scriptsize{\sf{@BrainlyResearcher}}}}}}}}}$