Question

the side of the triangle are in the ratio is 2 : 3 : 4. if the perimeter of the triangle is 27 cm ,find the value of each sides

Last question good

answers needed

no incorrect answers ​

Answer 1

Answer:

if the perimeter of the triangle is 27 cm ,find the length of each side. The sides of the triangle are in the ratio 2: 3: 4 which mean 2 + 3 + 4 = 9. The perimeter of the triangle = 27 cm. The lengths of the sides are 6cm , 6cm and 12cm.

Answer 2

Given :-

• The side of the triangle are in the ratio is 2: 3 : 4

• The perimeter of the triangle is 27 cm

To find :-

• The value of each side

Solution :-

$\: \: \sf\bold{\green{★ \: Let ,}}$

⟹ The first side of triangle be 2x

⟹ The second side of triangle be 3x

⟹ The third side of triangle be 4x

$\: \: \sf\bold{\green{{\green{ ★ \: We \: know \: that ,}}}}$

⟹ The sum of all sides of a triangle= Perimeter of triangle

So ,

⟹ 2x + 3x + 4x = 27

⟹ 9x = 27

$⟹ \: x = \frac{27}{9}$

$\: \sf\bold{\green{⟹x = 3}}$

Therefore , the required sides of triangle are :-

★ First side

⟹ The first side of triangle = 2x

⟹ The first side of triangle = 2 × 3 [ Put value of x]

⟹ The first side of triangle = 6

★ Second side

⟹ The second side of triangle = 3x

⟹ The second side of triangle = 3 × 3 [ Put value of x]

⟹ The second side of triangle = 9

★ Third side

⟹ The third side of triangle = 4x

⟹ The third side of triangle = 4× 3 [ Put value of x]

⟹ The third side of triangle = 12

Therefore the each side of triangle is 6 cm , 9 cm , 12 cm

★ Verification

⟹ 2x + 3x + 4x = 27

Now let's put x as 3

⟹ 2 ( 3 ) + 3 ( 3 ) + 4 ( 3 ) = 27

⟹ 6 + 9 + 12 = 27

⟹ 27 = 27

Hence verified

Hope it helps you