Determine whether a triangle having sides of the following lengths is a right triangle?

Question

a= 9 yd, c= 12 yd, b= 7yd
Is the triangle a right triangle?
A. True
B. False

Answer 1

B. False

In order to be a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side.

9^2 + 7^2 = 12^2?
81 + 49 = 144?
No, 81 + 49 = 130.

Therefore, this is not a right triangle.

Answer 2

If it is a right triangle than a^2 + b^2 = c^2

9^2 + 7^2 = 81 + 49 = 130
12^2 = 144

So this is not a right triangle.

Answer 3

cosA=(12^2+7^2-9^2)/(2(12)(7))
which A equals about 48 degrees

you use the law of cos again for determine angle B
which will equal about 35 degrees.

subtract 180-A-B which will give u 97 so its false.
not a right triangle becuase it doesn hav 90 degrees

Answer 4

c^2 = 144

a^2 = 81

b^2 = 49

c^2is greater than a^2+b^2

So it is not a right triangle