Question

I need help with this question

Answer 1

15

`\\`

Explanation:

`= \sqrt{ {12}^(2) + {9}^(2) } \\ = √(144 + 81) \\ = √(225) \\ = 15`

Answer 2

the missing side of the triangle is of length 15

Explanation:

This problem is asking to find the hypotenuse (longest side) of a right angle triangle, so we can use the Pythagorean theorem, which tells us that the square of the hypotenuse in a right angle triangle equals the addition of the squares of the legs of the triangle (in our case 9 and 12).

We can then find the length of the hypotenuse applying the square root on both sides:

`hyp^2=leg_1^2+leg_2^2\\hyp^2=9^2+12^2\\hyp^2=81+144\\hyp^2=225\\hyp=√(225) \\hyp=15`