Converse of Pythagoras Theorem

Converse of Pythagoras Theorem

Given a triangle with three known sides

• Determine whether the triangle is an right-angled triangle of not

• => Test whether $a^{2\ }+b^{2\ }$   $=$  / $\ne$   $c^{2\ }$  

Is this a right-angled triangle?

Given three known sides $a,\ b\$ and $c$ 
=> Test $a^2+b^{2\ }=$  / $\ne c^{2\ }$  

Multiple Choice

Is this triangle a right triangle?

• yes
• no

Multiple Choice

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in.  Will this make a right triangle?

• yes
• no

Multiple Choice

a = 2.1, b = 7.2, c = 7.5

Is this a right triangle?

• yes

• no

Multiple Choice

Do these 3 side lengths form a right triangle?
13, 80, and 81?

• yes
• no