Question

Construct a rhombus ABCD with AB = 6 cm and diagonal AC = 7 cm.
Hence measure and write down the length of the diagonal BD please draw for me​

Answer 1

Answer:

first of all draw a rough diagram ABCD and label it then draw a line of 6 and a BI with scale and open the compass 7 cm and cut a arc because all sides of rhombus are equal and then cut a arc from point a of 6 sentimeter and of 6 and from C. from point a and cut a from point B of 6 sentimeter

Answer 2

The length of diagonal BD = 9.746 cm

Step-by-step explanation:

From the diagram of rhombus, Δ O A B is right angle triangle with right angle at O.

$AB^{2} = OA^{2} + OB^{2}$ ------- (1)

$OA = \frac{1}{2} AB$

$OA = \frac{7}{2} = 3.5$

Put the value of O A in equation 1, we get

$OB^{2} = 6^{2} - 3.5^{2}$

$OB^{2} = 23.75$

$OB = 4.873$ cm

We know that diagonal

B D = 2 × OB

⇒ B D = 2 × 4.873

⇒ B D = 9.746 cm

This is the length of diagonal BD.