Objective: To find the areas of rhombuses and kites.

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Presentation transcript:

Objective: To find the areas of rhombuses and kites. Chapter 7 Lesson 4 Objective: To find the areas of rhombuses and kites.

Theorem 7-11: Area of a Rhombus or a Kite The area of a rhombus or a kite is half the product of the lengths of its diagonals. d2 d1 Rhombuses and kites have perpendicular diagonals.

Finding the Area of a Kite Example 1: Finding the Area of a Kite Find the area of kite KLMN. L KM=2+5=7 LN=3+3=6 3m 2m K M 5m 3m N

Finding the Area of a Kite Example 2: Finding the Area of a Kite Find the area of kite KLMN. L KM=1+4=5 LN=3+3=6 3m 1m K M 4m 3m N

Finding the Area of a Kite Example 3: Finding the Area of a Kite Find the area of kite with diagonals that are 12 in. and 9 in. long.

Example 4: The diagonals of a rhombus bisect each other. Finding the Area of a Rhombus B 15m Find the area of rhombus ABCD. ∆BEC is a right triangle. Use the Pythagorean Theorem to find BE. E A C 12m AC=12+12=24 BD=9+9=18 D

Finding the Area of a Rhombus Example 5: Finding the Area of a Rhombus B 13m Find the area of rhombus ABCD. ∆BEC is a right triangle. Use the Pythagorean Theorem to find BE. 24m E A C 12m 12m AC=12+12=24 BD=5+5=10 D

Assignment pg. 376 - 378 #14-20;29-31;35-37