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please show your work

Please Show Your Work class=

Sagot :

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! ;)