Question

show that the quadrilateral ABCD is a rectangle if the diagonals are equal and bisect each other.also in this quadrilateral MNO and P are the mid- points of the sides AB,BC,DA and DA respectively. show that the quadrilateral MNOP to be a rhombus

Answer 1

Answer:

Step-by-step explanation:

Sum of all the angles of quadrilateral = 360°

∴ 3x + 5x + 9x + 13x = 360°

⇒ 30x = 360°

∴ 3x = 3 × 12° = 36°

5x = 5 × 12°= 60°

9x = 9 × 12° = 108°

13x = 13 × 12° = 156°

⇒ The required angles of the quadrilateral are 36°, 60°, 108° and 156°.

Q2. If the diagonals of a parallelogram are equal, then show that it is a rectangle.

Sol: A parallelogram ABCD such that AC = BD In ΔABC and ΔDCB,

AC = DB

[Given]

AB = DC

[Opposite sides of a parallelogram]

BC = CB

Answer 2

Step-by-step explanation:

$\underline{ \sf \large \color{lime} QuésTion:-}$

★ A wire is stretched between two poles and carries a

current of 50 A. The height of the wire along the

ground is 10 m. Find the magnetic field at a point on

the ground vertically below the wire.

$\underline{ \sf \large \color{lime}AnsWer:-}$

Greenhouse gases are gases in Earth's atmosphere that trap heat. They let sunlight pass through the atmosphere, but they prevent the heat that the sunlight brings from leaving the atmosphere.

★ Overview of Greenhouse Gase

Carbon Dioxide.

Methane.

Nitrous Oxide.

Fluorinated Gases