Question

I need answer and explanation here please ​

Answer 1

`c=√(90)`

Explanation:

When using the Pythagorean Theorem,
`a^(2)` and
`b^(2)` represent the horizontal and vertical sections of the triangle. The term
`c^(2)` represents the hypotenuse. The easiest way to understand an equation is to try to explain it with a sentence or two.

Pythagorean's Theorem in English:

The horizontal length squared plus the vertical length squared equals the hypotenuse squared.

The problem is asking for the square root of the hypotenuse squared, so the first thing to do would be solving Pythagorean's Theorem for the hypotenuse squared.

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

The given information in this problem implies that a=3 and b=9.

Using these values to calculate the hypotenuse squared:

`c^(2)=3^(2)+9^(2) =9+81=90`

Now that we know the value of the hypotenuse squared, take the square root of it.

`\sqrt{c^(2) }=√(90)`

`c=√(90)`

Answer 2

c ≈ 9.49

Explanation:

Using the Pythagorean Theorem:

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

A and B are the two legs and c is the hypotenuse.

`3^2+9^2=c^2`

`(3*3)+(9*9)=c^2`

`9+81=c^2`

`90=c^2`

`√(90)=√(c^2)`

`3√(10)=c`

`c = 9.49`