10-2 Area of a Triangle

1.) What is the formula for the area of a rectangle?

2.) If a rectangle is divided into two equal triangles, what is the formula for the area of a triangle?

A =

A =

Find the area of each right triangle. Calculators are permitted, but you must show all required steps.

2.) 1.)

8 cm

8 cm

11 cm

8.1 cm

6 cm

10.2 cm

Sometimes the height is not one of the sidesThe height is perpendicular to the baseShow required steps

5.1 cm

6 cm6.5 cm

3.) Acute triangle 4.) obtuse triangle

7.5 cm

4 cm

3.9 cm

5.) Find the area of the triangle.

b = 30 ft.

h = ft

6.) Critical Thinking Question: Do the two triangles inscribed inside the rectangle have the same area? Explain.

4 cm

6 cm

7.) A triangular kite has a base of 5 ft and an area of 10 ft2. What is the height of the kite?

5 ft

Area = 10 ft2

?

1.)

2.)

3.4 cm

6 cm

4.9 cm

Demonstrate Understanding: Find the area of each triangle. Show all required steps.

11.5 m

14 m

9 m8 m

Find the perimeter and area of each shape.

3.) 4.)