th side of a rectangle is 8 cm and leangth of diagonal is 10cm.find the leangth of shorter side
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Given:
The side of a rectangle is 8 cm and the length of the diagonal is 10cm.
To find:
The length of the shorter side?
Solution:
Refer to an attachment for the diagram of the Rectangle.
ABCD is the rectangle
BC is diagonal with 10 cm.
CD is 8 cm.
Now, we need to find the length of BD?
We can use Pythagoras theorem:-
CB² = BD² + CD²
BD² = CB² - CD²
BD² = 10² - 8²
BD² = 100 - 64
BD² = 36
BD = √36
BD = 6 cm.
Hence, the length of the shorter side is 6 cm.
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