Question

Rajiv decided to put a frame on a scenery which is quadrilateral in shape as show

Answer 1

Answer:

b]- option B

c]- option A

d]-option C

Step-by-step explanation:

Hope it will help you..

Answer 2

Answer:

The midpoint of OB is the average of the coordinates of the two endpoints, which is ((0 + 4)/2, (0 + 3)/2) = (2, 1.5).

Step-by-step explanation:

From the above question,

They have given :

Question :

Rajiv decided to put a frame on a scenery which is quadrilateral in shape as shown. He placed this scenery on coordinate axes such that one vertex coincides with origin O and one arm OA coincides with x-axis and another arm OC coincides with y-axis. Here O4 = 5units and OC = 3units.

1. Find the length of diagonal OB
2. Find the value of ABC.
3. Find the perimeter of OABC
4. (Or)
5. Find the coordinates of midpoint of OB and AC​

To find: Coordinates and mid point distance

Length of diagonal OB:

OB is the hypotenuse of a right triangle with legs O4 and OC. Using the Pythagorean theorem, we can find the length of OB:

OB^2 = O4^2 + OC^2

OB^2 = 5^2 + 3^2

OB^2 = 25 + 9

OB^2 = 34

OB = √34

OB = 5.83 units

Area of quadrilateral OABC:

To find the area of quadrilateral OABC, we need to find the length of AC. From the information given, we know that OA = 5 units and that the coordinates of C are (0, 3). To find AC, we can use the distance formula:

AC = √((x2 - x1)^2 + (y2 - y1)^2)

AC = √((0 - 5)^2 + (3 - 0)^2)

AC = √(25 + 9)

AC = √34

AC = 5.83 units

The area of OABC can be found using the formula for the area of a parallelogram, which is given by:

Area = base x height

In this case, the base is OA and the height is OC.

Area = 5 x 3

Area = 15 square units

Perimeter of OABC:

The perimeter of OABC can be found by adding up the lengths of all four sides:

Perimeter = OA + AC + OC + OB

Perimeter = 5 + 5.83 + 3 + 5.83

Perimeter = 20.66 units

Midpoint of OB:

The midpoint of OB can be found by finding the average of the x-coordinates and the y-coordinates of its endpoints O and B. The endpoints of OB are (0, 0) and (5, 3). The midpoint is:

((x1 + x2) / 2, (y1 + y2) / 2) = ((0 + 5) / 2, (0 + 3) / 2) = (2.5, 1.5)

Midpoint of AC:

The midpoint of AC can be found using the same method as the midpoint of OB. The endpoints of AC are (5, 0) and (0, 3). The midpoint is:

((x1 + x2) / 2, (y1 + y2) / 2) = ((5 + 0) / 2, (0 + 3) / 2) = (2.5, 1.5)

So, the length of OA is 5 units.

The coordinates of the other endpoint are (O4, OC), or (4, 3).

Thus, the midpoint of OB is the average of the coordinates of the two endpoints, which is ((0 + 4)/2, (0 + 3)/2) = (2, 1.5).

For more such related questions : https://brainly.in/question/17037189

#SPJ3