In trapezium ABCD, AB∥DC. The sides AD and BC are produced to meet at E. AB = 15 cm, CD = 10 cm, AD = 4 cm and BC = 5 cm, then DE = ?
8 cm
The correct answer is 8 cm.
Express other relevant lengths in terms of this variable (e.g., EA = ED + DA = x + 4). Form an equation using the proportional ratios involving the known lengths and the variable. Solve the algebraic equation for the variable. This method is widely applicable to geometry problems involving similar figures formed by parallel lines and transversals.
Similar Questions
G is the centroid of the equilateral triangle ABC. If AB = 8√ 3 cm, then the length of AG is equal to:
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Important Questions from Triangles, Congruence and Similarity
G is the centroid of the equilateral triangle ABC. If AB = 8√ 3 cm, then the length of AG is equal to:
If sides of a triangle are 12 cm, 15 cm and 21 cm, then what is the inradius (in cm) of the triangle?
What is the area of quadrilateral ABCD?
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Sides of two similar triangles are in the ratio 4 ∶ 9. Area of these triangles are in the ratio:
