Geometric Problems Section 3.3. Geometric Formulas and Facts 1. Listed in the margin on p 197 and p 198. 2. These will be PROVIDED on a formula sheet.

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Geometric Problems Section 3.3

Geometric Formulas and Facts 1. Listed in the margin on p 197 and p These will be PROVIDED on a formula sheet for the test – no need to memorize them all! 3. HINT: It often helps to draw a picture and label what you know about the shape.

Examples from p #12This building in NYC, referred to as the Flatiron Building, has a perimeter in the shape of an isosceles triangle. If the shortest side of the triangle is 50 feet shorter than the two longer sides, and the perimeter is 196 ft, determine the length of the 3 sides of the triangle.

s # 16Angles A and B are complementary angles and angle B is 14 o less than angle A. Find the measures of angle A and angle B. # 22One angle of a triangle is 20 o larger than the smallest angle, and the third angle is 6 times as large as the smallest angle. Find the measures of the three angles.

# 24The perimeter of a rectangle is 120 feet. Find the length and width of the rectangle if the length is twice the width. # 26Rikki Blair is building a rectangular patio. The perimeter of the patio is to be 96 feet. Determine the dimensions of the patio if the length is to be 6 feet less than twice the width.

# 32The measure of one angle of a quadrilateral is twice the smallest angle; the third angle is 20 o greater than the smallest angle, and the fourth angle is 20 o less than twice the smallest angle. Find the measures of the four angles of the quadrilateral.

#34A bookcase is to have four shelves as shown. (see illustration on p 201) The height of the bookcase is to be 2 feet more than the width, and only 20 feet of lumber is available. What should be the width and height of the bookcase?