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7.2B Notes Area of Triangles and Shaded Regions M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving polygons, prisms, pyramids, cones, cylinders, spheres as well as composite figures, expressing solutions in both exact and approximate forms
Area is measured in square units.. But the units aren’t all square! The triangle is just half a rectangle Area of a Triangle 2 3
5 4 8 8 7 8 Special Rule!! • Base and height must be perpendicular.
10 ft 8 ft Example Find the area of the triangle.
30° 12 yd 22 in 8 in More Examples • Find the area of the triangles. Leave answers in simplest radical form.
21° 4√2 in 4 in 19 cm More Examples • Round answers to the nearest tenth.
30° 5 cm 14 inches 56° Now You Try… • Find the area of the triangles. Leave your answers in simplest radical form, if appropriate.
7 in 18 yards 7 yards 45o Now You Try… • Find the area of the triangles. Leave your answers in simplest radical form, if appropriate.
Example • Find the area of the shaded region. 2 8 6 10
Now You Try… • Find the area of the shaded region. 4 meters 9 meters 45o