Question

the three sides of a trailenge are in ratio of 7:8:9 and perimeter is 240 find the sides​

Answer 1

Correct question:-

The three sides of a triangle are in ratio of 7:8:9 and their perimeter is 240 cm. Find the sides.

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Given:-

• Ratio of the sides 7:8:9
• Perimeter is 240 cm

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To find:-

The three sides of the traingle

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Solution:-

Let the ratio be 7x+8x+9x

Perimeter= 240

$according \: to \: question...$

7x+8x+9x=240

24x=240

x=240÷24

⟼ x=10

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So now let's find the sides of the traingle:-

⟼ 7x= 7×10= 70 cm

⟼ 8x=8×10= 80 cm

⟼ 9x=9×10= 90 cm

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Answer 2

Step-by-step explanation:

$\frak Given = \begin{cases} &\sf{Ratio\ of\ the\ sides\ =\ 7\ :\ 8\ :\ 9.} \\ &\sf{Perimeter\ of\ the\ triangle\ =\ 240cm.} \end{cases}$

To find:- We have to find the sides of the triangle ?

☯️ Let the sides of the triangle be 7x, 8x, and 9x.

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$\frak{\underline{\underline{\dag By\ substituting\ the\ values,\ we\ get:-}}}$

$\sf : \implies {7x\ +\ 8x\ +\ 9x\ =\ 240} \\ \\ \sf : \implies {24x\ =\ 240} \\ \\ \sf : \implies {x\ =\ \cancel \dfrac{240}{24}} \\ \\ \sf : \implies {\purple{\underline{\boxed{\bf x\ =\ 10.}}}}\bigstar$

● So, the value of x is 10.

So here:-

$\sf : \implies {First\ side\ =\ 7x\ =\ 7\ ×\ 10\ =\ 70cm.}$

$\sf : \implies {Second\ side\ =\ 8x\ =\ 8\ ×\ 10\ =\ 80cm.}$

$\sf : \implies {Third\ side\ =\ 9x\ =\ 9\ ×\ 10\ =\ 90cm.}$

Hence:-

$\sf \therefore {\underline{The\ required\ sides\ are\ 70cm,\ 80cm,\ and\ 90cm\ respectively.}}$