Question

The sides of a triangle are 3x + 7, 4x + 3 and 5x + 3. Find the sides if perimeter is 55

Answer 1

Answer:

Sides are 17.5 units , 17 units and 20.5 units .

Step-by-step explanation:

Given :

• Sides of triangle are 3x + 7, 4x + 3 and 5x + 3.
• Perimeter of triangle is 55 units.

To find :

• Sides of triangle.

Solution :

• For sides we need value of x. So we will find Value of x using perimeter of triangle.

We know,

Perimeter of triangle = Sum of all sides

So,

$\implies$ (3x + 7) + (4x + 3) + (5x + 3) = 55

$\implies$ 3x + 7 + 4x + 3 + 5x + 3 = 55

$\implies$ 12x + 13 = 55

$\implies$ 12x = 55 - 13

$\implies$ 12x = 42

$\implies$ x = 42/12

$\implies$ x = 3.5

Value of x is 3.5 .

Sides of triangle :

• 3x + 7 = 3 × (3.5) + 7 = 10.5 + 7 = 17.5 .
• 4x + 3 = 4 × (3.5) + 3 = 14 + 3 = 17.
• 5x + 3 = 5 × (3.5) + 3 = 17.5 + 3 = 20.5 .

Therefore,

Sides of triangle are 17.5 units , 17 units and 20.5 units.