Question

I need help on these problems please be serious

Answer 1

1. 10

2. 10

3. 12

4.
`3√(14)` or 11.22497216

Explanation:

1.
`a^(2)+b^(2) =c^(2)\\\\a^(2) = 8^(2) = 64\\b^(2) = 6^(2) = 36\\c^(2) = a^(2) + b^(2) = 64 + 36 = 100\\c = √(100) = 10`

2.
`c^(2)-a^(2) =b^(2)\\\\a^(2) = 24^(2) = 576\\c^(2) = 26^(2) = 676\\b^(2) = c^(2) - a^(2) = 676 - 576 = 100\\b = √(100) = 10`

3.
`c^(2)-a^(2) =b^(2)\\\\a^(2) = 5^(2) = 25\\c^(2) = 13^(2) = 169\\b^(2) = c^(2) - a^(2) = 169 - 25 = 144\\b = √(144) = 12`

4.
`c^(2)-b^(2)=a^(2)\\\\b^(2) = 11^(2) = 121\\c^(2) = √(137)^(2) = 137\\a^(2) = c^(2) - b^(2) = 137 - 11 = 126\\a = √(126) = 3√(14) = 11.22497216`