The area of the isosceles triangle is 31 in2. Find the perimeter.

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Presentation transcript:

The area of the isosceles triangle is 31 in2. Find the perimeter. Mrs. Reulbach Please write your name on the top line of the index card. Then, draw and label the triangle. The area of the isosceles triangle is 31 in2. Find the perimeter. 8 in 6.2 in Draw this diagram in your notebook. What do you notice? 26 in

Mrs. Reulbach Please write your name on the top line of the index card. Then, draw and label the triangle. The area of the isosceles triangle is 31 in2. Find the perimeter. 8 in 8 in 6.2 in 10 in 26 in

Mrs. Reulbach Draw this diagram in your notebook. What do you notice?

What shape can you split a regular polygon into? Mrs. Reulbach Regular Polygon Equilateral - all sides are equal - Equiangular - all angles are equal What shape can you split a regular polygon into? Equilateral triangles SAY, all sides and all angles are equal. Regular polygon.

Mrs. Reulbach Vocabulary Equilateral triangle s Side (s) for the base Apothem (a) Length of a perpendicular segment from the center of the polygon to a side s a h s b s

Find the area of the regular polygon Mrs. Reulbach Find the area of the regular polygon Find the area of the equilateral triangle. 35.1cm2 35.1cm2 35.1cm2 Find the area of the regular polygon. 7.8 cm s = 9 cm 35.1cm2 35.1cm2 35.1cm2 Use SECOND one. 210.6 cm squared

Mrs. Reulbach s s s s a s s Find the area of the equilateral triangle. Find the area of the regular polygon. s s a What is the perimeter of this regular polygon? s s P = s + s + s + s + s + s P = 6s

Mrs. Reulbach # of Sides P Area 6 7 8 n s a

Mrs. Reulbach # of Sides P Area 6 7 8 n s a Write the area formula.

Mrs. Reulbach Write the area formula. s a

Find the area of the regular polygon. Mrs. Reulbach Find the area of the regular polygon. 7 in 7.3 in 178.85 in squared

Mrs. Reulbach The apothem of a regular octagon is 6 cm. What is the length of each side of the octagon if the area is 120 cm2 ? A= 120cm2 6 cm 40 = P S = 5 cm 5 cm

What is the perimeter of this regular polygon? Mrs. Reulbach What is the perimeter of this regular polygon? s P = s + s + s + s + s + s P = 6s s s Find the area of the regular polygon s s 7.8 cm 35.1 for triangle. 210.6 cm squared s = 9 cm s

Mrs. Reulbach a s Find the area of the equilateral triangle. Find the area of the regular hexagon. s a