Construction of a Quadrilateral - (3 Sides and 2 Diagonal Lengths are Given)
Given a ABC. ...
Question
Given a △ABC. From this triangle, construct a quadrilateral ABCD such that AC will be the diagonal, ∠ACD=90°, CD = 2.3 cm and measure the length of AD.
A
5.5 cm
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B
10 cm
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C
1 cm
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D
8 cm
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Solution
The correct option is A 5.5 cm Given, ∠ACD=90°, CD = 2.3 cm.
Steps of construction:
Step 1: Keeping AC as the base line, construct an angle of 90° at the point C. Extend the line.
Step 2: Keeping C as the centre, construct an arc of radius 2.3 cm on the extended line.
Step 3: Join A to D. Measure the length of AD. It will be approximately 5.5 cm.