Respuesta :

anbu40

Answer:

AM = 9 cm

Step-by-step explanation:

In a parallelogram, opposite sides are equal.

CD = AB = 12 cm

Area of the parallelogram is obtained by multiplying the base with its corresponding height.

[tex]\boxed{\bf Area \ of \ parallelogram = base * height}[/tex]

If we are taking CD as the base, then its corresponding height is AL.

Area of parallelogram = CD * AL

                                    = 12 * 6

                                    = 72cm²

Area of parallelogram = 72

           AD * AM = 72

               8 * AM = 72

                    AM = 72 ÷ 8

                    AM = 9 cm

Answer:

AM = 9 cm

Step-by-step explanation:

ABCD is a parallelogram, so opposite angles are congruent.

m<B = m<D

Because of the two sets of perpendicular lines, m<DLA = 90 = m<BMA

Triangle DLA is similar to triangle BMA by AA similarity.

8/6 = 12/AM

8(AM) = 6 × 12

AM = 9