Question

A blueprint for a new triangular playground shows that the sides

measure 480 ft, 140 ft, and 500 ft. Is the playground in the shape of
a right triangle? Explain.

Answer 1

Yes, the playgrounds shape is the right angle triangle.

Explanation:

The sides of the triangular ground are 480 ft. 140 ft. And 500ft.

We can find if the sides given are the sides of a right triangle by using pythogoras theorem.

Here, the largest side is 500ft.

So,

√[(480x480) +(140x140) ]

= √[(230400) +(19600) ]

= √(250000)

= 500

The pythogoras theorem is proved.

So, the playground is in the shape of triangle.