Is the information sufficient 8?

Geometry Level pending

You have a Hexagon, named EUNHAS . Also, you are given that:

• $$m\left(\overline{EU}\right) = m\left(\overline{ES}\right) = 19$$
• $$m\left(\overline{UN}\right) = m\left(\overline{NH}\right) = 180$$
• $$m\left(\overline{HA}\right) = m\left(\overline{AS}\right) = 181$$
• $$m \left(\angle UES\right) = m\left(\angle UNH\right) = m\left(\angle HAS\right) = 120^{\circ} \cdot$$

If the value of $$\left( m \left(\overline{EA}\right) \right)^2$$ can be express as $$a + b\sqrt{c}$$ where $$c$$ is a prime, what is the value of $$\left\lfloor \sqrt{a + b + c} \right \rfloor \ ?$$

Clarification:

$$m \left(\overline{AX}\right)$$ means the length or measurement of line segment $$AX$$ for example, while $$m \left(\angle RES\right)$$ means the measurement of angle $$RES \cdot$$

For more problems like this, try answering this set .

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