Consider a regular hexagon
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Elementary Geometry For College Students, 7e
- A satellite dish in the shape of a regular dodecagon 12 sides is nearly circular. Find: a mAB b mABC c mABC inscribed anglearrow_forwardFor Exercises 11 and 12, use Brahmaguptas Formula. For cyclic quadrilateral ABCD, find the area if AB=6 cm, BC=7 cm, CD=2 cm, and DA=9 cm.arrow_forwardThe triangle that has vertices at M-4,0,N3,-1,andQ2,4 has been boxed in, as shown. Find the area of MNQ. Exercises 33, 34.arrow_forward
- For compactness, the drop-down wheels of a stretcher or gurney are folded under it as shown. In order for the boards upper surface to be parallel to the ground when the wheels are dropped, what relationship must exist between AB and CD?arrow_forwardIf AC is a diameter of O, find the area of the shaded triangle. Exercise 17arrow_forwardThe center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle of radius 9 inches. What is the exact length of common internal tangent AB? HINT: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.arrow_forward
- For the cyclic quadrilateral MNPQ, the sides have lengths a, b, c, and d. If a2+b2=c2+d2, explain why the area of the quadrilateral is A=ab+cd2.arrow_forwardIn ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._arrow_forwardComplete the following table for regular polygons. Number of sides 8 12 20 Measure of each exterior 24 36 Measure of each interior 157.5 178 Number of diagonalsarrow_forward
- It can be shown that the length of a diagonal of a right rectangular prism with dimensions l, w, and h is given by d=l2+w2+h2. Use this formula to find the length of the diagonal when l=12in., w=4in., and h=3in.arrow_forwardUse the results from Exercises 36 and 37 to find the exact length of the radius of the inscribed circle for a triangle with sides of lengths a 8, 15 and 17 b 7, 9 and 12arrow_forwardFind the area of an equilateral triangle with apothem a = 4.6 in. and perimeter P=27.63 in.arrow_forward
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