Question

HURRY PLZ

Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the correct box. Right Triangle Not a Right Triangle.

Determine whether each set of side lengths could be the sides of a right triangle.

Drag and drop each set of side lengths to the correct box.

Right Triangle Not a Right Triangle.

6cm, 22.9cm, 20.1cm.
10.5cm, 20.8cm, 23.3cm

Answer 1

6^2 + 20.1^2 =? 22.9^2
36 + 404 does NOT equal 524.41
These do NOT form a right triangle.

10.5^2 + 20.8^2 =? 23.3^2
110.25 + 432.64 = 542.89
Therefore, it is a right triangle.

Answer 2

Second option is the correct answer.

Explanation:

To know if the given set of numbers can be possible lengths for a right triangle, we will use the Pythagorean theorem that states:

`a^(2)+b^(2) =c^(2)`

a and b are smaller lengths.

Option first:

6cm, 22.9cm, 20.1cm.

`6^(2)+20.1^(2) =22.9^(2)`

=>
`36+404.01=524.41`

=>
`440.01\\eq 524.41`

This is not a right triangle.

Option second:

10.5cm, 20.8cm, 23.3cm

`10.5^(2)+20.8^(2) =23.3^(2)`

=>
`110.25+432.64=542.89`

=>
`542.89=542.89`

This is a right triangle.