If a triangle has side lengths 6, 8, 10 is it a right triangle?
A right-angled triangle or right triangle is the one which has one 90 degree angle.
Answer: Yes, a triangle having sides of length 6, 8, 10 is a right triangle.
Let's use Pythagoras theorem to prove this.
According to Pythagoras theorem,
For a given right triangle,
Hypotenuse2 = Perpendicular2 + Base2
Let the hypotenuse = c , perpendicular = b, base = a
Thus as per the given dimensions,
c = 10 (hypotenuse is the longest side)
b = 8
a = 6
RHS = Perpendicular2 + Base2 = a 2 + b2
=> 6² + 8² = 36 + 64 = 100
LHS = Hypotenuse2 = c2
=> 102 = 100
Thus, LHS = RHS