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Question

Construct a trapezium ABCD with dimensions AB=8cm,BC=5cm,AC=6cm,CD=4.5cm and AB is parallel to CD. Find the height of the trapezium (in cm.).

A
4.2
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B
3.8
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C
3.6
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D
None of these
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Solution

The correct option is C 3.6

Draw a line segment AB=8cm
Take A as a center with radius 6cm and draw an arc.
Take B as a center with radius 5cm and draw an arc meeting previous arc at point C.
Draw a horizontal line passing through a point C.
Cut off line CD=4.5cm
Draw a CPAD
Measure the length of CP.
l(CP)=3.6cm
Height of trapezium is 3.6cm

824353_584886_ans_e9f2444008114879831efa485c79e8b4.png

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