Mathematics
If the lengths of three consecutive sides of an isosceles trapezium are 5 cm, 6 cm and 8 cm, then what is the length of the fourth side?
Quadrilaterals
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Answer
In an isosceles trapezium, the two non-parallel sides (the legs) are equal in length, while the parallel sides (the bases) are of different lengths.
Let the four consecutive sides be in order: AB, BC, CD and DA, where AB and CD are the two parallel sides and BC and DA are the two non-parallel sides (legs).
Given three consecutive sides are 5 cm, 6 cm and 8 cm.
Let AB = 5 cm, BC = 6 cm and CD = 8 cm.
Since BC and DA are the non-parallel sides of the isosceles trapezium, DA = BC = 6 cm.
∴ The length of the fourth side is 6 cm.
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