Question

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Answer 1

The answer is D

Explanation:

x√{5^2+8^2}=√89

Answer 2

`\boxed{\tt x=√(89) }`

Explanation:

We'll use the Pythagorean Theorem

Equation:
`\tt a^2+b^2=c^2`

where a and b are the lengths of the two legs of triangle, and c is the hypotenuse.

• 
  `\tt a=5`

• 
  `\tt b=8`

• 
  `\tt c=x`

*A and b can be switched because they are legs*

`\tt a^2+b^2=c^2`

Plug in the side lengths:

`\tt 5^2+8^2=x^2`

Evaluate 5^2 and 8^2:

`\tt 25+64=x^2`

Add 25 and 64 = 89

`\tt 89=x^2`

Now, take the square root of each side:

`\tt x=√(89)`

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