Question

the perimeter of triangle is (17x-12)cm its two sides are (x-5) cm and (7x+5) cm long what is lenght 9f third side?​

Answer 1

Given:

A triangle with -

• Perimeter = (17x - 12) cm
• First side = (x - 5) cm
• Second side = (7x + 5) cm

What To Find:

We have to find

• The third side of the triangle.

Formula Needed:

The formula is -

⤅ Perimeter = Sum of all sides.

Solution:

Using the formula,

⤅ Perimeter = Sum of all sides.

Substitute the values,

⤅ 17x - 12 = (x - 5) + (7x + 5) + (3rd side)

Remove the brackets,

⤅ 17x - 12 = x - 5 + 7x + 5 + 3rd side

Rearrange the like terms,

⤅ 17x - 12 = x + 7x - 5 + 5 + 3rd side

Solve the like terms

⤅ 17x - 12 = 8x + 3rd side

Take 8x to LHS,

⤅ 17x - 12 - 8x = 3rd side

Rearrange the like terms,

⤅ 17x - 8x - 12 = 3rd side

Solve the like terms,

⤅ 9x - 12 = 3rd side

Final Answer:

∴ Thus, the third side of the triangle is 9x - 12 cm.