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The Square Under the Hypotenuse printable worksheet - initial problem
The Square Under the Hypotenuse printable worksheet -different methods
This right-angled triangle has a base of 3 and a height of 6 units.
How might you construct the square, which just touches the hypotenuse?
Can you work out the side length of the square?
Can you think of more than one way to work it out?
What if the side lengths of the triangle were 12 and 4 units long?
What if they were $a$ and $b$ units long?
Once you've had a go at solving this, click below to reveal three different approaches.
Can you take each starting point and turn it into a solution?
Method 1
Method 2
Method 3