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question 1:

what is the length of side ab of the triangle?

square root of 6

3

square root of 18

6

Hey there, Lets solve this problem together. 

You are given two lengths of a right angled triangle, so Pythagoras' theorem is the way to go. 

In algebraic terms, a² + b² = c² where c is the hypotenuse while a and b are the legs of the triangle. 

In a right angled triangle:
the square of the hypotenuse is equal to
the sum of the squares of the other two sides.

c² (the diagonal squared) = a² (one length squared) + b² (the other length squared)  

leg a and b are both 3 





 

 

 

The opposite of ^2 is ^1/2 also known as the square root

c = sqrt(18)

Solved = c≈4.24