Question
In the adjoining figure, is a trapezium in which and its diagonals and intersect at . Prove that .
Found 2 tutors discussing this question
Discuss this question LIVE
10 mins ago
Text solutionVerified
From the figure we know that and lie on the same base and between two parallel lines and .
We know that the triangles lying on the same base and have equal area.
Consider and
It can be written as
Area of = Area of
So we get
Area of = Area of - Area of
Area of = Area of
Therefore, it is proved that .
Was this solution helpful?
150
Share
Report
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
60, 000+ Expert tutors
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Essay review
Get expert feedback on your essay
Schedule classes
High dosage tutoring from Dedicated 3 experts
Practice questions from similar books
Question 1
In the given Figure, diagonals and of quadrilateral intersect at such that . If , then show that :(i)
(ii)
(iii) or is a parallelogram.
Question 2
The perimeter of a right triangle is 40 cm and its hypotenuse measures 17 cm. Find the area of the triangle.Stuck on the question or explanation?
Connect with our math tutors online and get step by step solution of this question.
231 students are taking LIVE classes
Question Text | In the adjoining figure, is a trapezium in which and its diagonals and intersect at . Prove that . |
Answer Type | Text solution:1 |
Upvotes | 150 |