# 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 has side lengths 6, 8, 10 is it a right triangle.

Let's use Pythagoras theorem to prove this.

**Explanation:**

According to Pythagoras theorem,

For a given right triangle,

**Hypotenuse ^{2}**

**= Perpendicular**

^{2}**+ Base**

^{2}

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 = Perpendicular^{2} + Base^{2} = a ^{2} + b^{2}

=> 6² + 8² = 36 + 64 = 100

LHS = Hypotenuse^{2} = c^{2}

=> 10^{2} = 100

Thus, LHS = RHS