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EXAMPLE 3 Find side lengths SOLUTION First, write and solve an equation to find the value of x. Use the fact that the sides of a regular hexagon are congruent.

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Presentation on theme: "EXAMPLE 3 Find side lengths SOLUTION First, write and solve an equation to find the value of x. Use the fact that the sides of a regular hexagon are congruent."— Presentation transcript:

1 EXAMPLE 3 Find side lengths SOLUTION First, write and solve an equation to find the value of x. Use the fact that the sides of a regular hexagon are congruent. Write equation. Subtract 3x from each side. Add 2 to each side. 3x + 6 4x – 2 = 6 = x – 2 8 = x A table is shaped like a regular hexagon.The expressions shown represent side lengths of the hexagonal table. Find the length of a side. ALGEBRA

2 EXAMPLE 3 Find side lengths Then find a side length. Evaluate one of the expressions when x = 8. 303(8) + 6 == 3x + 6 The length of a side of the table is 30 inches. ANSWER

3 GUIDED PRACTICE for Example 3 The expressions 8y° and ( 9y – 15 )° represent the measures of two of the angles in the table in Example 3. Find the measure of an angle. 3. First, write and solve an equation to find the value of y. Use the fact that that the angles of a regular hexagon are congruent. 8y = 9y – 15 0 = y – 15 15 = y Write equation Subtract each side by 8y Add 15 to each side SOLUTION

4 GUIDED PRACTICE for Example 3 Then find an angle. Evaluate one the expression when y = 15° 8y = 8 · 15° = 120° The measure of an angle is 120° ANSWER

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