11.4 Areas of Kites and Related Figures - PowerPoint PPT Presentation

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11.4 Areas of Kites and Related Figures. Two formulas. A kite = A △ ABD + A △ DBC. A. DB = 10m AE = 5 m EC = 12 m BC = 13m <BAD is a right angle. D. B. E. Find the area of the kite. C. Use correct formula. A kite = A △ABD + A △ DBC = ½ (BD)(AE) + ½(BD)(EC)

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11.4 Areas of Kites and Related Figures

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11.4 Areas of Kites and Related Figures

Two formulas

A kite = A △ABD + A△DBC

A

DB = 10m

AE = 5 m

EC = 12 m

BC = 13m

D

B

E

Find the area of the kite.

C

Use correct formula

A kite = A △ABD + A △ DBC

= ½ (BD)(AE) + ½(BD)(EC)

= ½(10)(5) + ½ (10)(12)

= 25 + 60

= 85 m2

T105: The area of a kite equals half the product of its diagonals.

A kite = d1d2

A kite = ½(10)(17)

= 85m2

Find the area of a kite with diagonals 9 and 14

Draw, label, write all steps.

Find the area of a rhombus whose perimeter is 20 and whose longer diagonal is 8.

What do you know about the inside triangles?

4

3

5

5

Remember: a rhombus is a parallelogram so the diagonals bisect each other. It is also a kite, so its diagonals are perpendicular to each other.