Question

Use Pythagorean Theorem to find the missing side in the simplest radical form

Answer 1

1) MN = 4

2) AC = 3√2

Explanation:

Problem 1

`a^2+b^2=c^2\\a^2+5^2=√(41)^2\\a^2+25=41\\a^2=16\\a=4`

MN = 4

Problem 2

`a^2+b^2=c^2\\a^2+12^2=(9√(2))^2\\a^2+144=81(2)\\a^2+144=162\\a^2=18\\a=√(18)\\a=3√(2)`

AC = 3√2