Pythagoras theoremIB MYP Maths Standard: Flashcards

What these 12 flashcards ask

State Pythagoras theorem.
What is the hypotenuse?
To find the hypotenuse, do you add or subtract the squares?
To find a shorter side, do you add or subtract the squares?
First two Pythagorean triples?
Another Pythagorean triple?
Diagonal of a rectangle l by w?
Space diagonal of a cuboid l\times w\times h?
Hypotenuse of a right-angled triangle with shorter sides 6 and 8?
Is the hypotenuse longer or shorter than the sum of the other two sides?
What must you check before using Pythagoras?
A cable is the hypotenuse. If the pole is 25\% taller, is the cable 25\% longer?

Exam questions on Pythagoras theorem

A ladder $5$ m long leans against a vertical wall. The foot of the ladder is on level ground, $1.4$ m from the wall.
With the foot $1.4$ m from the wall, the top of the ladder slips down $0.6$ m. Find how far the foot of the ladder moves away from the wall. Give your answer to $3$ significant figures.2 marks
A rectangular box measures $12$ cm long, $9$ cm wide and $8$ cm high.
Find the length of the diagonal of one of the $12$ cm by $8$ cm faces. Give your answer to $3$ significant figures.2 marks
A rectangular football pitch is $100$ m long and $64$ m wide.
Find the length of the diagonal of the pitch. Give your answer to $3$ significant figures.3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).