Pqrs is a rectangle

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Pqrs is a rectangle

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Last updated at March 7, by Teachoo. Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class. Show that the quadrilateral PQRS is a rectangle. Hence, PQRS is a parallelogram. Davneet Singh has done his B. Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. Your browser does not support the audio element.

Pqrs is a rectangle

Similarly, PS and QR are parallel and equal. Thus, PQRS is a parallelogram. Since P, Q, R, and S are midpoints, they form right angles at the intersection of the diagonals. Therefore, PQRS is a parallelogram with right angles, making it a rectangle. A rhombus is a special type of parallelogram where all sides are equal, and its diagonals bisect each other at right angles. The positioning of midpoints on the sides of a rhombus creates a unique geometric configuration. This setup allows for the exploration of the properties of the quadrilateral formed by connecting these midpoints, leading to insights into the nature of this quadrilateral, PQRS, within the context of the properties of a rhombus.

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More Latest posts. Tuck at Dartmouth. Cancel Add. Quantitative Questions. GMAT Courses. Admit Expert. Not interested in getting valuable practice questions and articles delivered to your email? Sia Admissions. Originally posted by arjunnath on Sep 17, am. Careless Mistake. The width of the rectangle is the length of the altitude to the hypotenuse of right triangle RST.

PQRS is a rectangle.

Student Loans. Practice Tests. PQ is 37, so RS is also After finding, as above, that the length of ST is 12, note that the area of triangle RST is half the area of the rectangle the area of the rectangle is base times height; the area of the triangle is one-half base times height. ARLee Consulting. The area of the rectangle is then Answer: the area of the rectangle is GyanDhan Financing. Not interested in getting valuable practice questions and articles delivered to your email? MBA House. Sign in! Placement and Salary Trends. How to get 6. So the length of the rectangle is 37, and the width is. Personal MBA Coach. Admissions Consulting.