Question

construct a square whose diagonal is 6 cm long​

Answer 1

Answer:

Diagonal is the line which draw from one corner to the opposite corner of the square.

#1

Step 1 : Draw a 6 c.m line with 45° angle. And name that point A and C.

#(Refer the attachment)

Step 2 : Draw straight line from point A (Horizontal(R) & Vertical(U) both).

Step 3 : Do the same with point C (Horizontal(L) & Vertical(D) both).

Step 4 : Name the intersect point as B and D.

#2

You can use the formula d = $a\sqrt{2}$

where d is for diagonal and a is for length of side

So,

We need to calculate the side length of square when diagonal is 6 c.m long.

d = $a\sqrt{2}$

6 = $a\sqrt{2}$

a = $\frac{6}{\sqrt{2}}$

a = 4.24 (Approx)

So, the each side of square is about 4.24 c.m.

Answer 2

Answer:

ABCD square with diagonal 6 cm is Constructed

Step-by-step explanation:

To construct a square Whose Diagonal is 6 cm

Let call square ABCD

There could be Many ways :

1st Method :

Step 1:  Draw a line segment AC = 6 cm Using Ruler

now we will draw perpedicular bisector

Step 2 : Using compass Opening it more than 3 cm draw arcs both sides of line segment AC Taking A as centere

Step 3 : Keeping compass length same & now Taking C as Center Cut both the arcs Drawn

Step 4 : join intersection point of arcs  which intersect AC at O

Step 5 : Using compass & taking O as center with length = 3 m ( 6/2)  cut both sides the Perpendicualr bisector at B & D point

Step 6 : Join AB , AD , BC & CD

ABCD square with diagonal 6 cm is Constructed

Method 2 :

Step 1 : Draw a line segment AC = 6 cm Using Ruler

Step 2 : Locate center O of AC with help of ruler at 3 cm from A or C

Step 3 : Draw perpendicular both sides at O using Protector

Step 4 : Tale both sides length = 3cm at perpendiculars and mark B & D

Step 5 : Join AB , AD , BC & CD

Method 3 :

Step 1 : Draw a line segment AC = 6 cm Using Ruler

Step 2 : Using Protector Draw both sides angle of 45 deg at point A

Step 3 : Using Protector Draw both sides angle of 45 deg at point A

Step 4 : Find intersection points of Angle drawn aand mark as B  & D

Step 5 : Join AB , AD , BC & CD