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# One angle of a rhombus is 60o. The shorter of the two diagonals is 8cm long. Fin...

### Question

One angle of a rhombus is 60o. The shorter of the two diagonals is 8cm long. Find the length of the longer one.

### Options

A) 8$$\sqrt{3}$$

B) $$\frac{16}{\sqrt{3}}$$

C) $$\sqrt{3}$$

D) $$\frac{10}{\sqrt{3}}$$

### Explanation:

$$\frac{x}{4}$$ = $$\frac{\tan 60}{1}$$
x = 4 tan60
= 4$$\sqrt{3}$$
BD = 2x
= 8$$\sqrt{3}$$

## Dicussion (1)

• $$\frac{x}{4}$$ = $$\frac{\tan 60}{1}$$
x = 4 tan60
= 4$$\sqrt{3}$$
BD = 2x
= 8$$\sqrt{3}$$