# How long is the third side of a right-angled triangle, if the hypotenuse is #13#cm and the shortest side is #5#cm?

I think this is more a case of pythagoras' theorem,

Hopefully this was helpful

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Here's one list .

Some of these are primitive (no common factors) and some are multiples of a primitive triple, as indicated. 99% of the time when you see a Pythagorean Triple in a math question it will be one of these. You'll be giving yourself a big hint if you can recognize them when they appear.

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Using the Pythagorean theorem, the third side of the right-angled triangle can be found as follows:

( a^2 + b^2 = c^2 )

Where:

- ( a ) and ( b ) are the two shorter sides (legs) of the triangle.
- ( c ) is the hypotenuse of the triangle.

Given that the hypotenuse ( c = 13 ) cm and one of the shorter sides ( a = 5 ) cm, we can solve for the other shorter side ( b ):

( b^2 = c^2 - a^2 )

( b^2 = 13^2 - 5^2 )

( b^2 = 169 - 25 )

( b^2 = 144 )

( b = \sqrt{144} )

( b = 12 )

So, the length of the third side (the longer leg) of the right-angled triangle is 12 cm.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #10 #, #6 #, and #3 #, respectively. What is the rectangle's area?
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- Why do we need to know about A squared and B squared equals C squared?
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- A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #9 #, #6 #, and #12 #, respectively. What is the rectangle's area?

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