Question 131

If the lengths ofthe side and one diagonal of a rhombus are respectively 13 cm and 10 cm, then the area of the rhombus in square centimeters is

Solution

Soution:

The diagonals of rhombus form right angle at the centre.

AO = 10/2 = 5 cm

AD = 13 cm

So DO = $$\sqrt{\ \left(AD^2\right)\ -\ \left(AO^2\right)}$$

= $$\sqrt{\ \left(13^2\right)\ -\ \left(5^2\right)}\ =12\ cm$$

Length of diagonal = 24

Area of diagonals = $$\frac{1}{2\ }\Pr oduct\ of\ diagonals\ =\ \frac{1}{2\ }\times\ \ 10\ \times24\ =120\ cm^2\ $$

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