Three consecutive sides of a quadrangle, into which a circle can be inscribed, are equal to 6cm, 8cm, 9cm.
| November 24, 2020 | education
Three consecutive sides of a quadrangle, into which a circle can be inscribed, are equal to 6cm, 8cm, 9cm. Find the perimeter of this quadrangle.
Such a quadrangle has equal sums of opposite sides, therefore 6 + 9 = 8 + x
15-8 = x
7 = x
x = 7
perimeter is the sum of the lengths of all sides
6 + 8 + 9 + 7 = 30 cm
Answer: 30
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