Work out the size of angle x HELP???
2 answers:
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Refer to the image attached.
Given: Altitude AC = 9 cm, Diagonal AD = 15 cm, side AB = 82 cm.
To find: Area of parallelogram
Solution:
Since, area of parallelogram = base height
=
We have to determine the base BD.
Consider the triangle ABC,
by Pythagoras theorem,
BC = 81.5 cm
Now, Consider the triangle ACD,
by Pythagoras theorem,
CD = 12 cm
Now, base BD = BC + CD
= 81.5+12
= 93.5 cm
Area of parallelogram = BD
= 93.5 x 9
= 841.5 square centimeters.
Therefore, the area of parallelogram is 841.5 square centimeters.
