Section 11-5: Areas of Triangles & Trapezoids

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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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### 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.
• 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
• 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
• 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
• 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
• 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!!

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