Question
A trapezium has parallel sides of lengths 10 cm and 20
cm, and its height is 8 cm. Find the length of the diagonal if the diagonals are equal.Solution
Using the trapezium diagonal formula for equal diagonals: Diagonal^2 = (sum of squares of parallel sides) / 2 + height^2. Diagonal^2 = (10^2 + 20^2) / 2 + 8^2 = (100 + 400) / 2 + 64 = 250 + 64 = 314. Diagonal = √314 ≈ 17.73 cm.
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