Question

the perimeter of a triangle is 6a+5b-2c. if two sides are a-b+6c and 3a+6b-10cwhat is the 3rd side

Answer 1

HEY BUDDY...!!!

HERE'S THE ANSWER..

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▶️ We know perimeter is sum of all sides

⏺️ Perimeter of triangle = ( 6 a + 5 b - 2 c ) . Given

⏺️ 2 sides are ( a - b + 6 c ) , ( 3 a + 6 b - 10 c)

⏺️ Let third side be X


▶️ According to statement sum of all sides is perimeter


=> ( a - b + 6 c ) + ( 3 a + 6 b - 10 c ) + X =
( 6 a + 5 b - 2 c )

⏺️ Take like variables in same bracket

=> ( a + 3 a ) + ( - b + 6 b ) + ( 6 c - 10 c ) + X = ( 6 a + 5 b - 2 c )

=> 4 a + 5 b - 4 c + X = ( 6 a + 5 b - 2 c )

=> X = ( 6 a + 5 b - 2 c ) - ( 4 a + 5 b - 4 c )

=> X = ( 6 a + 5 b - 2 c - 4 a - 5 b + 4 c )

=> X = 2 a + 2 c

⏺️ So third side is ( 2 a + 2 c )

HOPE HELPED..

HAVE A NICE DAY..

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