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A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD.

**Solution:**

Given

ABCD is a parallelogram with AC and BD as the diagonals intersecting at O

OA = 3 cm

OD = 2 cm

As the diagonals of a parallelogram bisect each other

AO = OC

BO = OD

AC = 2 × OA = 2 × 3 = 6 cm

BD = 2 × OD = 2 × 2 = 4 cm

Therefore, the lengths of AC and BD are 6 cm and 4 cm.

**✦ Try This: **Diagonals PR and QS of a parallelogram PQRS intersect each other at O. If OP = 4 cm and OS = 3 cm, determine the lengths of PR and QS.

**☛ Also Check:** NCERT Solutions for Class 9 Maths Chapter 8

**NCERT Exemplar Class 9 Maths Exercise 8.2 Problem 1**

## Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD

**Summary:**

Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3 cm and OD = 2 cm, the lengths of AC and BD are 6 cm and 4 cm respectively

**☛ Related Questions:**

- Diagonals of a rhombus are equal and perpendicular to each other. Is this statement true? Give reaso . . . .
- Three angles of a quadrilateral ABCD are equal. Is it a parallelogram? Why or why not
- Diagonals AC and BD of a quadrilateral ABCD intersect each other at O such that OA : OC = 3: 2. Is A . . . .

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