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Section 11-5: Areas of Triangles & Trapezoids. Pg.558. Objective & Vocabulary. Find the areas of triangles and trapezoids. Triangles Base of a triangle (pg.558): the length of any one of the sides.

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objective vocabulary
Objective & Vocabulary
  • Find the areas of triangles and trapezoids.

Triangles

  • Base of a triangle (pg.558): the length of any one of the sides.
  • Height of a triangle (pg.558): the perpendicular distance between the base and the vertex opposite that side.
  • Area of a triangle (pg.558): The product of ½ the base and height (A= ½ bh).

Height h

Height h

Base b

Base b

example 1 finding the area of a triangle
Example 1: Finding the Area of a Triangle
  • Find the area of the following triangle.
  • Find the area if the base is 9in and the height is 6in.
example2 finding the base height of a triangle
Example2: Finding the Base/Height of a Triangle
  • A triangle has a height of 10 cm and an area of 35 sq. cm. Find the base of the triangle.
  • Find the height of a triangle if the base is 11 m and the area is 61.6 sq. m.
trapezoids
Trapezoids
  • Bases of a trapezoid (pg.559): the lengths of the parallel sides of a trapezoid.
  • Height of a trapezoid (pg.559): the perpendicular distance between the bases.
  • Area of a trapezoid (pg.559): half the product of the sum of the bases and the height [A= ½ (b1 + b2)h].

Base b1

Base b1

Height h

Height h

Base b2

Base b2

example 3 finding the area of a trapezoid
Example 3: Finding the Area of a Trapezoid
  • Find the area of the trapezoid shown.
  • Find the area of a trapezoid if the bases are 13 in and 15 in, and the height is 6 in.
homework time yea
Homework Time—Yea!!

Pg.560-561(1-15all, 22-25all)