Question

Is a triangle with sides of 5 meters, 12 meters, and 13 meters a right triangle? Explain/Show your work.

Answer 1

`\huge\boxed{\sf Yes.}`

Explanation:

In a right angled triangle, the longest side is called hypotenuse.

So,

Hypotenuse = 13 m

The rest are:

Base = 5 m

Perpendicular = 12 m

Using Pythagoras Theorem to verify:

`(Hypotenuse)^2=(Base)^2+(Perpendicular)^2`

Put the given data

(13)² = (12)² + (5)²

169 = 144 + 25

169 = 169

Since, both left hand side and right hand side are equal, this means the triangle is a right-angled triangle.

`\rule[225]{225}{2}`