In a quadrangle ABCD, AB = 10cm, BC = 8cm, CD = 7cm. How long should the side AD
| March 8, 2021 | education
In a quadrangle ABCD, AB = 10cm, BC = 8cm, CD = 7cm. How long should the side AD be so that this quadrilateral can be described around a circle?
Since the quadrilateral ABCD can be described around a circle, the sum of the lengths of its opposite sides are equal.
AB + AD = 10 + 7 = 17 cm.
BC + AD = 17 cm.
AD = 17 – BC = 17 – 8 = 9 cm.
Answer: The length of the AD side should be 9 cm.
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