Question

I really need help guys can some one plz help me it's for 10 points

Answer 1

`√(8)----- 2units,2units`

`√(7) ------√(5)units,√(2)units`

`√(5)-------1unit,2units`

`3------2units, √(5)units`

Explanation:

Use pythagorean's theorem to solve each pair individually.

The instructions say that you have the two sides (a and b) and you have to match it with their hypothenuse.

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

1.
`a=√(5), b=√(2)`

Plug this into the formula.

`c=\sqrt{(√(5) )^2+(√(2))^2 }`

The square here eliminates the roots.

`c=√(5+2)\\ c=√(7)`

2.
`a=√(3), b=4`

`c=\sqrt{(√(3) )^2+(4)^2}\\ c=√(3+16)\\ c=√(19)`

3.
`a=2, b=√(5)`

`c=\sqrt{(2)^2+(√(5))^2 }\\ c=√(4+5)\\ c=√(9)\\ c=3`

4.
`a=2, b=2`

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

5.
`a=1, b=2`

`c=√((1)^2+(2)^2)\\ c=√(1+4)\\ c=√(5)`