Question

Please I need help I’ve be stuck on this for sooo long I need the correct answer people keep giving me the wrong one

Answer 1

pythagorean theorem:

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

there are 2 sides and a hypotenuse, a and b represent the sides and c is the hypotenuse, the hypotenuse is always the longest side to put it simply, now all you have to do is substitute, side a is missing, so we are solving for that missing side, side b is 9, and side c, the hypotenuse, is 12

`{a}^(2) + {9}^(2) = {12}^(2)`

now simplify,

`{a}^(2) + (9 * 9) = (12 * 12)`

`{a}^(2) + 81 = 144`

now since we are solving for the a side, we must isolate a

`{a}^(2) + 81 = 144 \\ - 81 \: \: \: \: \: \: \: \: - 81`

the 81's cancel out so it's just 144-81 which is 63

`{a}^(2) = 63`

a still must be isolated, so we have to take the square root of both sides, that in turn cancels out the square on the a

`√(a)^(2) = √(63)`

`a = √(63)`

the equation can no longer be simplified so the answer is

`a = √(63)`

Answer 2

Explanation:

a² + b² = c²

a² + 9² = 12²

a² + 81 = 144

a² = 63

a = √63