Question

Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm. Find its area. ​

Answer 1

Answer:

let the sides be 12x , 17x and 25x

now ,

perimeter of a triangle = side 1 + side 2 + side 3

540 = 12x + 17x + 25x

540 = 54x

x. = 10 cm

side 1 = 12x = 12 × 10

= 120cm

side 2 = 17x = 17 × 10

= 170cm

side 3 = 25x = 25 × 10

= 250cm

area = 1/2 base × height

= 1/2 × 12 × 17

= 102cm²

Step-by-step explanation:

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Answer 2

Answer:

$\pink\bigstar$ Given

• Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm.

$\begin{gathered}\end{gathered}$

$\pink\bigstar$ To Find

• Area of Triangle

$\begin{gathered}\end{gathered}$

$\pink\bigstar$ Solution

Let the side be,

• 12x
• 17x
• 25x

$\begin{gathered}\end{gathered}$

According to the question

$:\implies$ 12x +17x + 25x = 540

$:\implies$ 54x =540

$:\implies$ x = 10

Therefore the value x is 10

$\begin{gathered}\end{gathered}$

Hence,

• 12x =12 *10 =120
• 17x =17 *10=170
• 25x= 25 * 10=250

The sides of the triangle are 120,170,250

$\begin{gathered}\end{gathered}$

Now, To find area of triangle

S = a+b+c/2

$:\implies$ 120 +170 +250 /2

$:\implies$ 270

By using herons formula

$:\implies$ √s( s-a) (s-b) (s-c)

$:\implies$ √270(270-120) (2 70-170) (270-250)

$:\implies$ √270*150*100*20

$:\implies$ √81000000

$:\implies$ 9000cm

Therefore the area of the triangle is 9000 cm².