Question

The perimeter of a triangle is 29. One side of a triangle is 5 less than twice the side of the shortest length. The third side is 6 more than the shortest side. What are the lengths of the triangle?

Answer 1

ASSUMPTION:

Let the shortest length be x.

ANSWER:

Perimeter of Δ = Sum of all sides.

x + 2x - 5 + x + 6 = 29

4x + 1 = 29

4x = 29 - 1

4x = 28

x = 7.

Then, Other sides are

• 1st sides = 2 × 7 - 5 = 9
• 2nd sides = 7 + 6 = 13

Hence, The sides of triangle are 7, 9 & 13.

Answer 2

Answer:

• 7, 9, 13

Step-by-step explanation:

Let the sides of the triangle be a, b and c.

We have:

• P = a + b + c = 29
• a = 2b - 5
• c = b + 6

Substitute values and solve for b:

• 2b - 5 + b + b + 6 = 29
• 4b + 1 = 29
• 4b = 28
• b = 7

Find a and c:

• a = 2*7 - 5 = 14 - 5 = 9
• c = 7 + 6 = 13

The sides are: 7, 9, 13