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.

Question

Mathematics

Donna Dunlap

5 April, 21:43

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.

+2

Answers (1)

Know the Answer?

Nehemiah Mahoney · Answer 1

Yes, the playgrounds shape is the right angle triangle.

Step-by-step 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.

A blueprint for a new triangular playground shows that the sidesmeasure 480 ft, 140 ft, and 500 ft. Is the playground in the shape ofa right triangle? Explain.

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.