ABCD is a parallelogram . from C,perpendiculars CS and CT are dropped upon AB and AD, respectively. Given AB=16 cm,CS=9cm,and CT=8cm,find BC.
Answers
Answer:
HERE IS YOUR ANSWER
Step-by-step explanation:
Given: Here in the question it is given
(1) ABCD is a parallelogram,
(2) and
(3) , AB = 16 cm
(4) AE = 8cm
(5) CF = 10cm
To Find : AD =?
Calculation:
Therefore,
Area of paralleogram ABCD = DC × AE (Taking base as DC and Height as AE )
Area of paralleogram ABCD = AB × AE (AB = DC as opposite side of the parallelogram are equal)
Therefore,
Area of paralleogram ABCD = 16 × 8 ……(1)
Taking the base of Parallelogram ABCD as AD we get
Area of paralleogram ABCD = AD × CF (taking base as AD and height as CF)
Area of paralleogram ABCD = AD × 10 ……(2)
Since equation 1 and 2 both represent the Area of the same Parallelogram ABCD , both should be equal.
Hence fro equation (1) and (2),
This means that,
16 × 8 = AD × 10
AD = 16 × 8 / 10
AD = 12.8 cm
Hence we get the result as
AD = 12.8 cm