Question

Someone please answer Im ready to go to bed its thanksgiving break

Answer 1

Simple answer

Square root 26





Hope this helps :)

Answer 2

Answer:
`√(26)`

This is the same as writing sqrt(26) on a keyboard.

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Step-by-step explanation:

Start by focusing on the triangle on the right side. It has sides of 5 and 7, with some unknown hypotenuse. Use the pythagorean theorem to find the hypotenuse.

`a^2+b^2 = c^2\\\\c = √(a^2+b^2)\\\\c = √(5^2+7^2)\\\\c = √(74)\\\\`

That's the exact length of the hypotenuse of the triangle on the right, and it's also the height of the triangle on the left. We'll use the pythagorean theorem again to find x.

`a^2+b^2 = c^2\\\\x^2+(√(74))^2 = 10^2\\\\x^2+74 = 100\\\\x^2 = 100-74\\\\x^2 = 26\\\\x = √(26)\\\\`

Note that 26 = 2*13 doesn't have any perfect square factors, which means
`√(26)` cannot be simplified further.