Advertisements
Advertisements
प्रश्न
Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals. Find the value of x if JF = 8x + 4 and EG = 24x – 8.
Advertisements
उत्तर
Given, EFGH is a rectangle in which diagonals are intersecting at the point J.
We know that, the diagonals of a rectangle bisect each other and are equal.
Then, EG = 2 × JF
⇒ 24x – 8 = 2(8x + 4)
⇒ 24x – 8 = 16x + 8
⇒ 24x – 16x = 8 + 8
⇒ 8x = 16
⇒ x = 2
APPEARS IN
संबंधित प्रश्न
Diagonals of a parallelogram ABCD intersect at O. AL and CM are drawn perpendiculars to BD such that L and M lie on BD. Is AL = CM? Why or why not?
Which of the following statement is true for a rectangle?
It has all its sides of equal length.
Which of the following statement is true for a rectangle?
Its diagonals are perpendicular.
Which of the following statement is true for a square?
It is a rectangle.
The sides of a rectangle are in the ratio 2 : 3, and its perimeter is 20 cm. Draw the rectangle.
Prove that quadrilateral formed by the intersection of angle bisectors of all angles of a parallelogram is a rectangle.
ABCD is a rectangle whose diagonals AC and BD intersect at O. If ∠OAB = 46°, find ∠OBC
For which of the following figures, diagonals are equal?
All squares are rectangles.
If diagonals of a quadrilateral are equal, it must be a rectangle.
