Question

Construct a rhombus ABCD with Side 6cm and diagonal 8cm. Measure the other diagonal

Answer 1

here is your answer


Dear Student,

Please find below the solution to the asked query:

We follow these steps to construct rhombus ABCD by given information ( AB = BC = CD = DA = 6 cm and BD = 8 cm )

Step 1 : Draw a line BD = 8 cm

Step 2 : Now take radius of 6 cm and center B and D draw two arcs on both sides of line BD , These arcs intersect at " A " and " D " .

Step 3 : Join AB , AD , BC and DC . We get our required rhombus ABCD .

Now You can measure length of AC ( Other diagonal with the help of ruler ) by yourself .

Hope this information will clear your doubts about topic.

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Answer 2

First of all construct a rhombus abcd in which sides are 6cm each.

Diagonal BD is 8 cm .

Join other diagonal AC.

We know that diagonals of a rhombus are perpendicular bisector of each other .

Therefore in right angled triangle AOB we have,

AB ^2=OA^2+OB^2

(6cm)^2=(OA)^2+(4cm)^2

36cm^2=(OA)^2+16cm^2

36cm^2-16cm^2=(OA)^2

20cm^2=(OA)^2

OA=2√5cm

AC =2(OA)

AC=2*2√5cm

AC =4√5cm

Hence, length of other diagonal is 4√5cm Ans.