20. Find the perimeter of a rectangle if its length is 16 m and one of the diagonals is 20 m.
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Answer:
Here the AB = 16 cm.
and AC = 20 cm.
The triangle ABC will be a right angle triangle with angle ABC = 90 degree
On applying the Pythagoras Theorem here,
(AC)^2 = (AB)^2 + (BC)^2
(20)^2 = (16)^2 + (BC)^2
400 = 256 + (BC)^2
256 + (BC)^2 = 400
(BC)^2 = 400 - 256 = 144
BC = √(144) = 12
height of the rectangle = 12 cm.
so the area of the rectangle = 12 * 16 = 192 square cm.
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