In a triangle, one side is 36cm, the other is 4cm smaller and the third is x cm larger than the first side.

In a triangle, one side is 36cm, the other is 4cm smaller and the third is x cm larger than the first side. Find the perimeter of the triangle. Write an expression to solve the problem and find its value at x = 4 and x = 8.

1 side – 36 cm.

2nd side -? 4 cm less than 1 side.

3rd side -? cm x cm larger than 1 side.

With x = 4 cm and x = 8 cm.

Perimeter -? cm.

P = a + b + c.

P = 36 + (36 – 4) + (36 + x),

(36 – 4) find the 2 side of the triangle.

(36 + x) find the 3rd side of the triangle.

At x = 4 cm.

36 + (36 – 4) + (36 + 4) = 36 + 32 + 40 = 108 cm.

P = 108 cm.

At x = 8 cm.

36 + (36 – 8) + (36 + 8) = 36 + 32 + 44 = 112 cm

P = 112 cm.

Answer: The perimeter of the triangle is 108 cm and 112 cm.