12. Given triangle ABC with sides a, b, and c opposite angles A, B, and C, respectively,
determine which side is the longest if
MZA = 49°, mZB = 24°, and mZC = 107°.
If you need, construct this triangle on a sheet of paper.
side c
side a
side b
Impossible to determine

Side c

Step-by-step explanation:

Generally triangles can be classified with respect to their sides, or their angles. And there is a relationship between the length of the sides and the measure of the opposite angles of a given triangle. The relationship is that; the longest length of side is the one that is always opposite to the greatest angle.

In the given question, the longest side given that m<A = 49°, m<B = 24°, and m<C = 107° of the internal angles of the triangle is side c. Since side c is opposite the greatest angle, <C.

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i