# Can 50mm, 13mm and 12mm be a right triangle?

##### 4 Answers

#### Answer:

I do not think so.

#### Explanation:

Try with Pythagora's Theorem:

#### Answer:

It cannot even be a triangle let alone a right angled one.

#### Explanation:

If

#### Answer:

A triangle with sides 50mm, 13mm, and 12mm can **not** form a right triangle

#### Explanation:

By the Pythagorean Theorem, to be a right triangle:

the square of the longest side

must be equal to

the sum of the squares of the other two sides

**Also**

Note that **no triangle can exist** with sides 50mm, 13mm, and 12mm.

**Explanation 2:**

To form a triangle, every side must be less than the sum of the other two sides.

Picture a line segment of length 50mm with a line segment of 13 mm attached to one end and a line segment of 12 mm attached to the other end. The 13mm and 12mm line segments can not reach far enough to touch each other.

#### Answer:

No, not according to the Pythagorean theorem.

#### Explanation:

If you plug in the side lengths into the Pythagorean theorem, assuming that