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The angles of quadrilateral are in the ratio 3 : 5 : 9 : Find all the angles of the quadrilateral. Byjus class 8 maths chapter 9 lib Let the angles of the quadrilateral be 3x, 5x, 9x and 13x. If the diagonals of a parallelogram are equal, then show that it is a rectangle. Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

Alternatively : ABCD can be proved first a parallelogram then proving one pair of adjacent sides equal will result in rhombus. Show that the diagonals of a square are equal and bisect each other at right angles.

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square. Thus, ABCD is a square. ABCD is a rhombus. Question 1. AC is a diagonal. Question 2. Show that the quadrilateral PQRS is a rectangle. Join AC.

Thus, PQRS is a rectangle. Question 3. Show that the quadrilateral PQRS is a rhombus. Hence, PQRS is a rhombus. Question 4. Show that F is the mid-point of BC.

Question 5. Solution: Since, the opposite sides of a parallelogram are parallel and equal. Question 6. Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each.

And the diagonals of a parallelogram bisect each other, i. Thus, the line byjus class 8 maths chapter 9 lib joining the midpoints of opposite sides of a quadrilateral ABCD bisect each. Question 7.

ABC is a triangle right angled at C. RD Sharma Class 12 Solutions. Watch Youtube Videos.

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Chapter-wise NCERT Solutions for Class 8 Maths. NCERT Solutions Class 8 Maths provided here are very beneficial for students. They can use these Byjus Class 6 Maths Chapter 4 Case NCERT Solutions for Class 8 as a reference while practising math problems and develop better math skills along with preparing efficiently for the exams. The math exercises are given at the end of every chapter to practise the concepts learned in the. CHAPTER 9 � SIMPLE AND COMPOUND INTEREST Question 1. Find the interest and the amount on: (i) ? in 3 years 4 months at 10% per annum. Solution: Given P = ? Time (T) = Rate (R)=10% Interest (ii) ? at 8% per year from 23rd December to 29th July Solution: Principal (P) = ? Rate (R) = 8% p.a. 38 Times Table. The table of 38 is the multiples of The 38 times table can be obtained by multiplying 38 with the various whole myboat250 boatplans, if we add the number 38 repeatedly, we get the table of 38, as multiplication is the repeated addition process.

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