Question

A club at school designed a banner consisting of two congruent triangles surrounded by stripes. The length of the sides of each of the triangles were 1.5 feet, 2.0 feet, 2.5 feet. Are the triangles right triangles? Explain

Answer 1

Yes. They are Right Triangles

Explanation:

To determine if the triangles are right triangles, all you need to do is verify whether or not the dimensions satisfy the Pythagoras Theorem.

Pythagoras Theorem:
`Hypotenuse^2=Opposite^2+Adjacent^2`

Note that in a right triangle, the longest side is always the hypotenuse.

Given the length of the sides 1.5 feet, 2.0 feet, 2.5 feet

`2.5^2=1.5^2+2.0^2\\6.25=2.25+4\\6.25=6.25`

Since the Pythagoras theorem holds, the triangles are in fact right triangles.