Question

the perimeter of a triangle is 9a+7b-6c.Two of it's sides are 2a-3b+4c and 6c-4a+8b . Find the third side....please explain this in detail and I will mark you as a brainliest and I will be thankful....but don't just give the answer....​

Answer 1

Answer:

perimeter = 9a +7b -6c

side 1 is 2a -3 b +4c

side 2 is 6c -4a+8b

we know that

Perimeter of trinagle is = sum of all sides

9a+7b-6c = 2a -3b +4c + 6c-4a+8b + side 3

so side 3 is 11a+ 2b - 16c

Answer 2

Answer:

Third side of  a triangle is  (11a + 2b -16c).

Step-by-step explanation:

Explanation:

Given , the perimeter of triangle = 9a + 7b - 6c

and two sides of the triangle = 2a -3b +4c and 6c-4a + 8b.

Let the third side measure be x .

Step 1:

Perimeter of triangle = sum of all the three side of triangle .

⇒9a + 7b - 6c  = 2a -3b +4c +  6c-4a + 8b + x

⇒9a + 7b -6c = -2a + 5b + 10c + x

⇒x = 9a + 7b - 6c -(-2a +5b + 10c)

⇒ x = 11a + 2b -16c.

Final answer :

Hence  ,   third side  of a triangle is (11a + 2b -16c).

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