Answer:
B. No.
Step-by-step explanation:
We have been given 3 side lengths 7 ft, 12 ft, 17 ft. We are asked to determine, whether the given set of lengths can form a right triangle or not.
We will use Pythagoras theorem to solve our given problem, which states that the square of hypotenuse of a right triangle is equal to the sum of squares of two legs of right triangle.
[tex]17^2=12^2+7^2[/tex]
[tex]289=144+49[/tex]
[tex]289>193[/tex]
Since the sum of squares of both legs is less than square of hypotenuse, therefore, the given set of lengths can not be the side lengths of a right triangle.
Answer: Hello there!
We know that in a right triangle, the sum of the squares of the cathetus is equal to the square of the hypotenuse.
the smaller sides given are:
7ft and 12ft, and the longest is 17ft
so if this triangle is a right triangle, we should have that:
7^2 + 12^2 = 17^2
17^2 = 289
7^2 + 12^2 = 193
The terms are different, which means that this is not a right triangle, then the correct answer is B.
