Question

A triangle has sides with lengths of 51 inches, 68 inches, and 85 inches. Is it a right triangle?

Answer 1

yes it's a right triangle

Explanation:

• A triangle has sides with lengths of 51 inches, 68 inches, and 85 inches. Is it a right triangle?

we check with the Pythagorean theorem, following logic and definition, 51 and 68 are the legs and 85 the hypotenuse

Formula C^2 = a^2 + b^2

51^2 + 68^2 = 85^2

2601 + 4624 = 7225

7225 = 7225

yes it's a right triangle

Answer 2

yes it is a right triangle

Explanation:

using Pythagoras' identity

a² + b² = c²

a and b are the 2 shorter sides and c is the longest side

here a = 51 , b = 68 and c = 85

substitute these values into the identity and if both sides are equal then the triangle is right

a² + b² = 51² + 68² = 2601 + 4624 = 7225

c² = 85² = 7225

since the identity is true then the triangle is right