Question

Construct a quadrilateral ABCD in which AC=8cm, AC=2AB. TriangleACD is an equilateral triangle and angleB =90°

Answer 1

ABCD is the required quadrilateral

explanation:

given : AC=8cm, AC=2AB

so , AB = 4 cm

Triangle ACD is an equilateral triangle  and AC = 8 cm

so, AD = AC = CD = 8 cm

steps :

• draw a line segment AB = 4 cm
• with B as a center make an angle of 90 degree
• with  A as a a center and radius = 8 cm draw an arc which cuts the line BX at point C
• with A  as a center and radius = 8 cm draw an  arc
• again , with C  as a center and radius = 8 cm draw an  arc , whch cuts the previously arc at point D
• ABCD is the required quadrilateral

#Learn more :

In triangle ABC, if angleB=90° and AC²=2AB², then AB =​

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Answer 2

Step-by-step explanation:

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