please show your work
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Answer:
8
Step-by-step explanation:
This can be solved using Pythagoras theorem, which is a² + b² = c², in which c is the hypotenuse (the longest side) and a and b are the two other sides. This only works for right-angled triangles, which we can see it will work for this question as there is a right angle marked by a square.
To find x, we must substitute the values in so 6² + x² = 10², which simplifies to the following:
36+x²=100.
Then we must take away 36 from both sides, leaving x²=64. To find x, find the square root of both sides, leaving x=8
I hope this helps! ;)