Question

Each of two equal sides of a triangle is 3 cm less than twice the third side. If the perimeter of the triangle is 89 cm, find the length of the third side.

Answer 1

Answer:

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Answer 2

Given:

• Each of two equal sides of a triangle is 3 cm less than twice the third side.
• The perimeter of the triangle is 89 cm.

To find:

• The length of the third side.

Step-by-step explanation:

Let the third side of a triangle be x cm and two equal sides of triangle are y cm each.

According to question,

y = ( 2x - 3 ) cm

Therefore, the length of two equal sides of a triangle is ( 2x - 3 ) cm each.

We know that,

★ Perimeter of a triangle = x + y + y

Where,

a is the length of third side of a triangle.

y are the lengths of two equal sides of a triangle.

Putting the values in the formula, we have:

• x + ( 2x - 3 ) + (2x - 3) = 89
• x + 2x - 3 + 2x - 3 = 89
• x + 4x - 9 = 89
• 5x - 9 = 89
• 5x = 89 + 9
• 5x = 98
• x = 98/5
• x = 19.6

Finally,

The length of the third side = 19.6 cm

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