Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: |
Grade: 10-a Lesson: S2-L7 |
Explanation: |
Steps | Statement | Solution |
---|---|---|
1 |
\begin{align} \text{Given} \\ \end{align} |
\begin{align} & \text{ABCDEF is a regular hexagon,} \\ & \text{ AB is the mid-point of FC and EB.} \\ & \text{Also, GB = 4b and EG = 100.} \\ \end{align} |
2 |
Consider \$\triangle FGE\$ and \$\triangle CGB\$ |
\begin{align} FG &= CG \\ EG &= BG \\ FE &= CB \\ ∴ \triangle FGE &\cong \triangle CGB \tag{by SSS congruency} \\ \end{align} |
3 |
From \$\triangle FGE\$ and \$\triangle CGB\$ |
\begin{align} && BG &= EG \\ && 4b &= 100 \\ \Rightarrow && b &= 25 \\ \end{align} |
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