contestada

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

Respuesta :

wolf1728
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:

Second option is the correct answer.

Step-by-step 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:

[tex]a^{2}+b^{2} =c^{2}[/tex]

a and b are smaller lengths.

Option first:

6cm, 22.9cm, 20.1cm.

[tex]6^{2}+20.1^{2} =22.9^{2}[/tex]

=> [tex]36+404.01=524.41[/tex]

=> [tex]440.01\neq 524.41[/tex]

This is not a right triangle.

Option second:

10.5cm, 20.8cm, 23.3cm

[tex]10.5^{2}+20.8^{2} =23.3^{2}[/tex]

=> [tex]110.25+432.64=542.89[/tex]

=> [tex]542.89=542.89[/tex]

This is a right triangle.