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Question

Construct an isosceles triangle whose altitude is 5 cm and whose vertex angle is 70°.

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Solution

Steps of construction:

(1) Draw a line segment XY.

(2) Take a point M on XY and draw a line MP XY.

(3) With M as the centre and radius 5 cm, draw an arc cutting MP at A.

(4) Construct B and C on XY such that MAB = and MAC = .

Then, ABC is the required triangle.


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