Question

Bridget takes a 5-inch by 4-inch rectangle of fabric and cuts from one corner of the piece of fabric to the diagonally opposite corner. Now Bridget has two equally sized triangles of fabric. What is the perimeter of each triangle? If necessary, round to the nearest tenth.

Answer 1

Perimeter of each triangles are equivalent to 15.4 inches.

Explanation:

Given:

A rectangle :

Length of the rectangle = 5 inches

Width of the rectangle =4 inches

As Bridget cuts it from one corner to the other corner,its forms two right angled triangle.

The diagonal will be treated as the hypotenuse.

Lets say that the length of the hypotenuse is 'x'.

Using Pythagoras formula:

⇒
`(hypotenuse) = √((perpendicular)^2+(base)^2)`

Plugging the values:

⇒
`hypotenuse = √(5^2+4^2)`

⇒
`hypotenuse = √(25+16)`

⇒
`hypotenuse =√(41)`

⇒
`hypotenuse = 6.40` inches

Now we have to find the perimeter :

Perimeter = Summation of length of all sides.

So,

Perimeter of each triangle = (length + width + hypotenuse)

⇒
`Perimeter =(5+4+6.4)`

⇒
`Perimeter =15.4` inches

Perimeter of each triangle, as they are equally sized are same that is 15.4 inches.