the perimeter of triangle is (17x -12). it's tow sides are (x-5) cm and (7x+5) cm long. what is the length is it's third side
Answers
Answer:
Given, perimeter is 17x-12
the sides are x-5, 7x+5 and third side
W.K.T x-5+7x+5+third side=17x-12
8x+third side=17x-12
third side=9x-12 cm
Given:
✰ Perimeter of a triangle = 17x -12
✰ Two sides of a triangle are are (x-5) cm and (7x+5) cm respectively.
To find:
✠ The length is it's third side.
Solution:
Triangle:
A triangle is any closed figure of three sides.
Perimeter:
The perimeter of a closed plane figure like triangle is nothing but the length of its total boundary.
Perimeter of a triangle:
The perimeter of a triangle is the sum of the lengths of its three sides.
- Thus, the perimeter of a triangle = a + b + c, where a, b and c denote the lengths of the sides of a triangle.
Using this formula, putting the values in the formula and then doing the required calculations, we will find the length of its third side.
Let's find out...✧
✭ Perimeter of triangle = a + b + c ✭
Here,
- a and b are the two respective sides of a triangle, which is given.
- c is the length of third side of a triangle, which we need to find.
Putting the values in the formula, we have:
➤ 17x - 12 = (x - 5) + (7x + 5) + c
➤ 17x - 12 = x - 5 + 7x + 5 + c
➤ 17x - 12 = 8x - 5 + 5 + c
➤ 17x - 12 = 8x + c
➤ c = 17x - 12 - 8x
➤ c = ( 9x - 12 ) cm
∴ The length of the third side of a triangle = ( 9x - 12 ) cm
_______________________________