Someone help me with my maths homework please? Watch
Not certain, but I think the answer might be 7+ root7. Using Pythagoras, you can find the hypotenuse of each triangle Pattern 1: (1^2)+(1^2)=2, therefore hypotenuse=root2. Follow this pattern, and the hypotenuse of each triangle is the root of the pattern number. To cut a long story short, the hypotenuse of the 6th triangle in pattern 6 will be root7. Add the other sides (1x7), you get 7. I'm not sure if that is clear enough for you, but if you use Pythagoras each time (a^2)+(b^2)=c^2, you can't go wrong.
One of the sides of the next triangle is the hypotenuse of the last. Find the final length using pythagoras 6 times and then add 7 for the extra 1 cm sides in the perimeter. For example, with pattern 4:
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