Pythagorean theorem
Types of exercises: hypotenuse from Pythagoras, a leg from Pythagoras, side lengths of a right triangle, word problem: a ladder against a wall, a rectangle from its diagonal (Pythagorean theorem), pythagorean theorem - an answer with a root.
Exercises are drawn at random from a large bank - every click gives a different set.
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Problem
A right triangle has legs of 9 cm and 12 cm. How many centimetres is the hypotenuse?
Problem
A right triangle has a hypotenuse of 15 cm and one leg of 12 cm. How many centimetres is the other leg?
Problem
A 3.25 m ladder leans against a vertical wall with its foot 1.25 m from the wall. How high up the wall does it reach?
Which set could be the side lengths of a right triangle?
Below are four sets of three lengths (in centimetres).
Give the exact answer
A right triangle has a hypotenuse of 12 cm and one leg of 5 cm. How long is the other leg?
Problem
A rectangle has a side of 12 dm and a diagonal of 15 dm. What is its area?
Problem
A right triangle has legs of 12 cm and 35 cm. How many centimetres is the hypotenuse?
Problem
A right triangle has a hypotenuse of 20 cm and one leg of 12 cm. How many centimetres is the other leg?
Problem
A 1.7 m ladder leans against a vertical wall with its foot 0.8 m from the wall. How high up the wall does it reach?
Which set could be the side lengths of a right triangle?
Below are four sets of three lengths (in centimetres).
This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.
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These exercises are part of it. On the board itself you can plot a function, write a formula in LaTeX, or solve a problem together with a teacher or a friend - live, in the browser. Our app is completely free.