Answer:
[tex]1) B[/tex]
[tex]2)\ B[/tex]
[tex]3)\ B[/tex]
[tex]4)\ C[/tex]
Step-by-step explanation:
1)
Let's use the Pythagorean Theorem:
[tex]X^2 + 13^2 = 21^2[/tex]
[tex]X^2 + 169 = 441[/tex]
[tex]X^2 = 272[/tex]
[tex]X= \sqrt{272} = 4\sqrt{17} = 16.5[/tex]
2)
Let's use the Pythagorean Theorem:
[tex]16^2 + 28^2 = x^2[/tex]
[tex]x^2 = 1040[/tex]
[tex]x = \sqrt{1040} = 4\sqrt{65} = 32.2[/tex]
3)
Let's use the Pythagorean Theorem:
[tex]7^2 + 24^2 = 25^2[/tex]
As this equation is correct, these three lengths could be used in a right triangle.
4)
Let's use the Pythagorean Theorem:
[tex]7^2 + 24^2 = 25^2[/tex]
As this equation is correct, these three lengths could be used in a right triangle.
