Find the diagonal $d_{1}$ of a rhombus if side $a = 12 cm$ and angle $α = 12 0^{o}$ .

Answer

Problem has no solutions.

Explanation

To find height $h$ use formula:

sin (α) = \frac{h}{a}

After substituting $α = 12 0^{o}$ and $a = 12 cm$ we have:

sin (12 0^{o}) = \frac{h}{12}

- \frac{3}{2} = \frac{h}{12}

h = - \frac{3}{2} \cdot 12

h = - 63

The result has to be greater than zero. $⟹$ The problem has no solution.

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Find the diagonal d1​ of a rhombus if side a=12cm and angle α=120o.

Problem has no solutions.

Find the diagonal $d_{1}$ of a rhombus if side $a = 12 cm$ and angle $α = 12 0^{o}$ .