pleasantdaryl
contestada

Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet, 56 feet, and 70 feet form a right triangle?

Yes, because 1st picture
Yes, because 2nd picture
No, because 3rd picture
No, because 4th picture

Kelsey measured the sides of a porch to determine if it is a right triangle Does her porch with side lengths of 42 feet 56 feet and 70 feet form a right triangl class=
Kelsey measured the sides of a porch to determine if it is a right triangle Does her porch with side lengths of 42 feet 56 feet and 70 feet form a right triangl class=
Kelsey measured the sides of a porch to determine if it is a right triangle Does her porch with side lengths of 42 feet 56 feet and 70 feet form a right triangl class=
Kelsey measured the sides of a porch to determine if it is a right triangle Does her porch with side lengths of 42 feet 56 feet and 70 feet form a right triangl class=

Respuesta :

calculista

Answer:

Yes, because 2nd picture

Step-by-step explanation:

we know that

If the side lengths of a triangle satisfy the Pythagoras Theorem, then is a right  triangle  

The Pythagoras Theorem states that

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

where

c is the greater side

a and b are the legs of triangle

we have

[tex]c=70\ ft[/tex]

[tex]a=42\ ft[/tex]

[tex]b=56\ ft[/tex]

substitute

[tex]70^{2}=42^{2}+56^{2}[/tex]

[tex]4,900=4,900[/tex]

therefore

Is a right triangle

joyherrera

Answer: I believe it's B. This option, Yes, because 42 squared + 56 squared = 70 squared.

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