Answer:
No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.
Step-by-step explanation:
Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).
- we can use 7 and 10 interchangeably.
Fill in the equation, [tex]a^2 + b^2 = c^2[/tex]
where c = 12, and a or b = 7 or 10.
To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.
Therefore, [tex]7^2 + b^2 = 12^2[/tex] or [tex]10^2 + b^2 = 12^2[/tex]
[tex]7^2 + b^2 = 12^2[/tex] ==> 49 + b^2 = 144 ==> b= [tex]\sqrt{95[/tex] ==> 9.746
b= 9.7, not 10.
[tex]10^2 + b^2 = 12^2[/tex] ==> 100 + b^2 = 144 ==> b = [tex]\sqrt{44[/tex] ==> 6.633
b= 6.6, not 7.
Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.
Hope this helps!
