Question

Can someone show me the step by step answers please.

Answer 1

`c` ≈
`8.944`

Explanation:

Use the Pythagorean theorem. The pythagorean theorem can be used if the triangle is a right triangle and you are provided with 2 of sides.

Pythagorean theorem is
`a^2+b^2=c^2`. This is where a and b are the 2 legs of the triangle and c is the hypotenuse. You know where the hypotenuse is because it will always be opposite of the right angle.

So in this triangle, a would be 4 and b would be 8. (a and b can be interchangeable).

`(4)^2+(8)^2=c^2`

`16+64=c^2`

`80=c^2`

`√(80) =c`

`c` ≈
`9.944`