Questions

 Answer the questions below, then scroll to the bottom of the page for solutions!

Question 1

 Use Pythagoras to find the length of the missing side in each of the below diagrams:

a)                                                                                            b)                                                                                

c)        

Question 2

Determine if the following are right triangles:

a) A triangle with sides of length a = 1, b = 1, c = √2

b) A triangle with sides of length a = 5, b = 7, c = 10

c)

Question 3

 A painter leans his ladder of length 11m against a wall, 4m from the wall's base. Assuming the wall is perpendicular to the floor, how far up the wall will his ladder reach? (Hint: the below diagram may help!)

 Solutions

 Question 1

a)      x =  √39                               b)        x  =  √126                        c)         x =  √28.25

Question 2

 a)   Yes, it is a right triangle.          b)      No, it is not a right triangle.        c)     No, it is not a right triangle.

Question 3

The ladder reaches approximately 10.25m up the wall.