Advertisements
Advertisements
प्रश्न
Diagonals of a rectangle ABCD intersect at point O. If AC = 8 cm then find BO and if ∠CAD =35° then find ∠ACB.
Advertisements
उत्तर
AC = 8 cm ...(i) ...[Given]
`square`ABCD is a rectangle ...[Given]
∴ BD = AC ...[Diagonals of a rectangle are congruent]
∴ BD = 8 cm ...[From (i)]
BO = `1/2` BD ...[Diagonals of a rectangle bisect each other]
∴ BO = `1/2` × 8
∴ BO = 4 cm
side AD || side BC and seg AC is their transversal. ...[Opposite sides of a rectangle are parallel]
∴ ∠ACB = ∠CAD ...[Alternate angles]
∠ACB = 35° ...[∵ ∠CAD = 35°]
∴ BO = 4 cm, ∠ACB = 35°
APPEARS IN
संबंधित प्रश्न
In the following figure, BDEF and DCEF are each a parallelogram. Is it true that BD = DC? Why or why not?
Which of the following statement is true for a rectangle?
It has two pairs of equal sides.
Which of the following statement is true for a rectangle?
Its diagonals are equal.
Which of the following statement is true for a rectangle?
Its diagonals are perpendicular.
Which of the following statement is true for a rectangle?
All rectangles are squares.
Fill in the blank in the following, so as to make the statement true:
A rectangle is a parallelogram in which .....
Fill in the blank in the following, so as to make the statement true:
A square is a rhombus in which .....
In a rectangle ABCD, prove that ∆ACB ≅ ∆CAD.
Draw a square whose each side measures 4.8 cm.
State with Reason Whether the Following Statement is ‘True’ Or ‘False’.
Every rectangle is a parallelogram.
State with reason whether the following statement is ‘true’ or ‘false’.
Every parallelogram is a rectangle.
If diagonal of a rectangle is 26 cm and one side is 24 cm, find the other side.
A quadrilateral whose opposite sides and all the angles are equal is a ______.
If the adjacent angles of a parallelogram are equal, then the parallelogram is a ______.
Every trapezium is a rectangle.
Every rectangle is a trapezium.
In a rectangle ABCD, AB = 25 cm and BC = 15. In what ratio does the bisector of ∠C divide AB?
PQRS is a rectangle. The perpendicular ST from S on PR divides ∠S in the ratio 2:3. Find ∠TPQ.
