A triangle has sides with length of 5 yards, 14 yards, and 16 yards. is it a right triangle

Answer: No, this is not a right triangle

Pythagorean theorem a² + b² = c² would apply if so, but No, it does not.

Step-by-step explanation:

5² = 25 14² = 196 16² = 256

25 + 196 = 221 221 ≠ 256

So the given side lengths do not make a right triangle.

As the largest side is

15

yards and smaller sides are

9

yards and

12

yards

from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.

Square of largest side is

15

2

=

225

and squares of smaller two sides are

9

2

=

81

and

12

2

=

144

.

As

225

=

81

+

144

, the triangle is right angled.