Question

B) Construct a Rhombus MARS where MR = 6.8 cm & AS = 7 cm. Write the measurement of each side of Rhombus.

Answer 1

Length = 4.88

Explanation:

Given

`MR = 6.8cm`

`AS = 7cm`

First, we calculate the lengths of each side of the rhombus.

Diagonals of a rhombus are bisected at right-angled.

So, the lengths (x,y) of the right-angled triangle formed are:

`x = (1)/(2)MR = (1)/(2) * 6.8 = 3.4`

`y = (1)/(2)AS = (1)/(2) * 7 = 3.5`

The length of the sides (z) is calculated using:

`z^2 = x^2 + y^2`

`z^2 = 3.4^2 + 3.5^2`

`z^2 = 11.56 + 12.25`

`z^2 = 23.81`

Take square roots

`z = \sqrt{23.81`

`z = 4.88` --- approximated