Question

in the parallelogram ABCD, AE perpendicular to DC and CF perpendicular to AD.If BC = 12 cm, CF = 8cm and AE = 10 cm find the DC.​

Answer 1

Answer:

all the best

Step-by-step explanation:

Solution:

Given:

AE = 8cm

AB = 16 cm

CF = 10 cm

In a parallelogram ABCD, “CD = AB = 16 cm” (∵Opposite sides of parallelogram are equal)

The value of AD can be found by multiplying base by height. Both base and height of parallelogram is perpendicular each other.

Area of parallelogram = \bold{b \times h}b×h

Area of ABCD = A E \times C D=A D \times C FAE×CD=AD×CF

\begin{gathered}\begin{array}{l}{16 \times 8=A D \times 10} \\ {128=A D \times 10}\end{array}\end{gathered}

16×8=AD×10

128=AD×10

AD = 12.8 cm.