# IB Math Studies SL Pythagoras Theorem

**Q**uestions and **A**nswers

**1. IB Mathematical Studies SL – Pythagoras’ rule**

How can I find the length of the hypotenuse in a right angle triangle with known sides 3 cm and 5 cm?

**Solution **

IB Mathematical Studies SL – Pythagoras’ rule

The rule of Pythagoras states that in a right-angled triangle, with hypotenuse c and the other sides a and b, holds

So, in this case, we have that

**2. IB Maths Studies Converse of Pythagoras**

IB Mathematical Studies SL – Converse of Pythagoras’ rule

How can I check if a triangle with sides 3 cm, 5cm and 8cm is right angled?

**Solution **

IB Mathematical Studies SL – Converse of Pythagoras’ rule

The Converse Pythagoras’ rule states that if a triangle has sides of length a,b and c where

then the triangle is right angled.

Therefore, in this case, we have that

Given that in a right-angled triangle the longest side is the hypotenuse

Therefore the triangle is not right-angled.