Slide 1

Section 3.3
Geometric Problems


Slide 2

Geometric Formulas and Facts
1.

Listed in the margin on p 197 and p 198.

2.

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.


Slide 3

Examples from p 200 - 201
#12 This 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.


Slide 4

s
# 16 Angles A and B are complementary angles and
angle B is 14o less than angle A. Find the measures of
angle A and angle B.

# 22 One angle of a triangle is 20o 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.


Slide 5

# 24 The perimeter of a rectangle is 120 feet. Find the
length and width of the rectangle if the length is twice
the width.

# 26 Rikki 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.


Slide 6

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


Slide 7

#34 A 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?