Steply

Right triangle leg 15 hypotenuse 13

Step by step, with the reason for every step · Pythagoras · Geometry

Step by step

The question

Question: find the missing side of a right triangle with leg 15 and longest side 13.

1 Name the sides

The longest side is called the hypotenuse.

We call it c.

It is always across from the right angle.

The two shorter sides make the right angle.

We call them a and b.

But c must be the longest side.

Here c = 13 is not longer than 15.

So this triangle is impossible.

13 < 15 impossible
Answer
13 < 15 impossible

More from Pythagoras

The whole lesson: Pythagoras →