Geometry

Quadrilaterals

Medium

Study the following carefully and answer the questions :

In the given figure, ABCD is a rhombus in which diagonals AC and BD are 8 cm and 6 cm respectively. Diagonals intersect each other at O.

Figure for CUET General Test 2022 24 Aug Shift 1 question 56 (Geometry)

Area of $\triangle$ OBC is :

$48 \text{ cm}^2$

$24 \text{ cm}^2$

$12 \text{ cm}^2$

$6 \text{ cm}^2$

✅ Correct Option: 4

Diagonals of a rhombus bisect each other at right angles, so $\triangle$ OBC is right-angled at O. $OB = \frac{6}{2} = 3$ cm and $OC = \frac{8}{2} = 4$ cm. Area = $\frac{1}{2} \times 3 \times 4 = 6$ cm $^2$ , which matches option 4.

Question 55

Side of the rhombus is :

Question 57

Area of rhombus ABCD is :

Area of △\triangle△OBC is :

Solution

More from this set:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)

Area of $\triangle$ OBC is :