Construction of a Rectangle When One Side and One Diagonal Are Given.

Q.

Construct a rectangle PQRS in which QR = 3.6 cm and diagonal PR = 6 cm. Measure the other side of the rectangle.

Q. Question 189
Construct a rectangle whose one side is 3 cm and a diagonal is equal to 5 cm.

Q. To construct a unique square, how many independent elements are required?
[1 MARK]

Q. In the given rectangle PQRS as shown,
The area of the right angle triangle PQS is ____ ft.

1. 32
2. 36
3. 42
4. 48

Q.

Question 116

Solve the following question:

The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.

Q. Construct rectangle $ABCD$ with the following data:
$AB=6cm$, $AC=7.2cm$

Q. The slope of line 5y=10x+2 will be

Q. $A(1,3)$ and $C(5,1)$ are two opposite vertices of a rectangle. If the slope of the line on which other two vertices $B$ and $D$ lie is $2$, then equation of $BD$, is

1. $2x-y=4$
2. $2x-y=1$
3. $2x+y=1$
4. $2x+y=4$

Q. Construct a rectangle ABCD, when :
One side = $4$ cm and one diagonal is $5$ cm. Measure the length of other side.

Q. Construct a square in which each diagonal is 5 cm long.

Q. Construct a rectangle $PQRS$, when $PQ=5.5cm$ and the diagonals $QS=5.2cm$.

Q. Construct a rectangle having diagonal of $7cm$ and length of one of its side is $4cm$. Find its area also

Q. Construct a square of diagonal $7cm$

Q.

Which property of a rectangle do we use to construct a rectangle ABCD with each diagonal AC= 6.2cm.

1. Each angle of a rectangle is ${90}^{\circ }$.
2. Opposite sides are equal.
3. Diagonals bisect each other.
4. Both (A) and (B)

Q. Construct a rectangle whose one side is $3cm$ and a diagonal equal to $5cm$.

Q.

Which property of a rectangle do we use to construct a rectangle given one diagonal and angle between diagonals?

1. Diagonals bisect each other
   

2. Diagonals are equal
   

3. Both (A) and (B)
   

4. Opposite sides are equal

Q. The area of the rectangle (in $c{m}^2$) is:

1. $12$
2. $18$
3. $20$
4. $6$