The given sides of the triangle are : 14 yards, 17 yards & 18 yards.
Condition of a right angle triangle :
1) The sum of square of Base and the perpendicular sides of traingle are always equal to the square of Hypotenuse.
Hypotenuse² = Perpendicular² + Base²
where, Hypotenuse, Base and perpendicular are express as :
2) The hypotenuse side of the right angle triangle is always the longest side.
In the given sides of triangle :
18 is the longest one, consider 18 as the Hypotenuse and remaing as the perpendicular and base
i.e.
Hypotenuse = 18, Base = 17 and perpendicular = 14
Substitute the value in the expression of the second condition :
Hypotenuse² = Perpendicular² + Base²
18² = 14² + 17²
324 = 196 + 289
324 = 485
LHS is not equal to RHS
Thus, expression doesnot hold
Hence the given sides of triangle is not a right angle triangle
Answer : The given sides of triangle is not a right angle triangle
