Question

Four copies of the triangle shown are joined together, without gaps or overlaps, to make a parallelogram. measurements= 5cm, 13cm, 12cm What is the largest possible perimeter of the parallelogram?

Answer 1

Answer: 76

Explanation:

Answer 2

Highest Possible Perimeter = 52cm

Explanation:

The triangle is not shown. But, the question can still be solved.

The given sides (5cm,12cm and 13cm) of the triangle shows that the triangle is a right angled triangle as proven below:.

`13\² = 5\² + 12\²`

`169 = 25 + 144`

`169 = 169`

Having shown that;

The next step is to determine the highest possible value of the perimeter.

To get the highest possible perimeter;

The 4 triangles have to be joined at the 12cm and 5cm part of each triangle (see attachment).

From the attachment, the perimeter is then calculated as:

Perimeter = 13cm + 13cm + 13cm+ 13cm

Perimeter = 52 cm