Question
The ratio of length of two parallel sides is 1 : 3 of a trapezium while non-parallel sides are in the ratio of 2 : 3. If the ratio of length of larger parallel side to the larger non-parallel side is 2 : 1. Find the area of the trapezium. If its height is (15√15)/4 cm?
Area of triangle = S = (a+b+c)/2 = (2x+3x+4x)/2 = 9x/2 Area = √(s(s-a)(s-b)(s-c)) = √(9x/2 × s/2 x × 9/2 x × x/2) = (3√15)/4 x² Again area of triangle = 1/2 × 4x × (15√15)/4 Compare both areas 1/2 × 4x × (15√15)/4 = (3√15)/4 x² x = 10 cm ∴ Area of trapezium = 1/2 × (2x + 6x) × (15√15)/4 = 1/2 × 8 × 10 × (15√15)/4 = 150√15 cm²More Geometry Questions
- The radius of a circle is 13 cm, and the length of the chord is 10 cm. Find the distance between the chord and the centre of the circle.
- In triangle ABC, the sides are AB = 13 cm, BC = 14 cm, and CA = 15 cm. What is the length of the altitude from vertex A to side BC?
- In ∆ABC , G is the centroid , AB = 20 cm, BC= 24 cm and AC = 28 cm , find GD, where D is the mid-point of BC?
- If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 72 cm 2 , then the area of ∆BDG is?
- Question 5
- Length of a chord in a circle of radius 'r' cm, is 14 cm and distance between chord and centre of the circle is 24 cm. Find the value of (4r - 60).
- Two angles are complementary. The larger angle is 6° less than thrice the measure of the smaller angle. What is the measure of the larger angle?
- In a parallelogram, two adjacent angles are (3x + 10)° and (x + 30)°. Find the larger angle.
- ∆ABC and ∆DEF are similar and their areas are respectively 25 cm2 and 36 cm 2 . If EF = 7.2 cm BC is?
- In the given figure, ABC is a right angled triangle. ∠ ABC = 90 0and ∠ ACB = 60 0. If the radius of the smaller circle is 2 cm, then what is the radius (in...
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
