Question

If ABCD is an isosceles trapezium with AD = BC =20 cm, DC = 40 cm, and AB = 25 cm, then find the sum of squares of the length of diagonals of the trapezium.?

A 1800cm² Correct Answer Incorrect Answer
B 2000cm² Correct Answer Incorrect Answer
C 2500cm² Correct Answer Incorrect Answer
D 2800cm² Correct Answer Incorrect Answer

Solution

, ABCD is an isosceles trapezium, AC² + BD² = AD² + BC² + 2 × AB × DC (Property of an isosceles trapezium) AC² + BD² = 400 + 400 + 2 × (25 × 40) AC² + BD² = 800 + 2000 AC² + BD² = 2800 cm²

Practice Next
×
×