Question

The two sides of a triangle are 6a - 15b - 2 and a + 4b + 5. If Perimeter is
5a - 2b + 2. What is the length of its third side.​

Answer 1

Solution,

Length of side 1 = 6a - 15b - 2

Length of side 2 = a + 4b + 5

Length of side 3 = ?

Total perimeter = 5a - 2b + 2

Length of side 3 = Total perimeter - Sum of lengths of two sides

Length of side 3 = 5a - 2b + 2 - [(6a - 16b - 2) + (a + 4b + 5)]

Length of side 3 = 5a - 2b + 2 - [6a - 16b - 2 + a + 4b + 5]

Length of side 3 = 5a - 2b + 2 - [7a - 12b + 3]

Length of side 3 = 5a - 2b + 2 - 7a + 12b - 3

Length of side 3 = -2a + 10b -1

Therefore,

The length of third side is -2a + 10b -1.

Knowledge Bytes:

→ Triangle

A triangle is a three-sided closed polygon.

→ Perimeter of a triangle

The sum of all the sides of a triangle is known as the perimeter of the triangle.

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