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Question

Construct an equilateral triangle of height 5.2 cm. Measure approximate length of the its side.

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Solution

Steps of construction:

Step I: Draw a line segment XY.

Step II: Take a point M on XY and draw MZ XY.

Step III: With M as the centre and radius 5.2 cm (equal to the height), draw an arc that cuts MZ at A.

Step IV: Mark points B and C on XY such that MAB = 30° and MAC = 30°.

ΔABC is the required triangle.

The approximate length of the side of ΔABC is 6 cm.


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