Calculating the length of a diagonal of a polygon

Practice Questions

GMAT Quantitative Reasoning › Calculating the length of a diagonal of a polygon

Questions

6

1

Thingy_4

Note: Figure NOT drawn to scale.

Which of the following statements is true of the length of $\overline{AC}$ ?

2

Each side of convex Pentagon has length 12. Also, $m \angle A = m \angle B = m \angle D = m\angle E = 105 ^{\circ }$ .

Construct diagonal $\overline{BD}$ . What is its length?

3

Hexagon_44

The hexagon in the above diagram is regular. If $\overline{AB}$ has length 12, which of the following expressions is equal to the length of $\overline{AD}$ ?

4

Thingy_4

Note: Figure NOT drawn to scale.

Refer to the above diagram. What is the length of $\overline{AD}$ in terms of ?

5

Octagon

The octagon in the above diagram is regular. If $\overline{AB}$ has length 8, which of the following expressions is equal to the length of $\overline{AD}$ ?

6

Calculate the length of the diagonal for a regular pentagon with a side length of .

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