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Area of triangles Unit 5

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Getting the idea Area is a measure of the number of square units needed to cover a region. Square Unit is a square with a side length of 1 of any particular unit of measure. Square Inches = in 2 Square Centimeters = cm 2

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Formula for area of a triangle. Area equals one-half the base (b) times the height (h). A = ½bh h b b h

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1. What is the area of the triangle? 4 in 8 in

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Right Triangle Remember that a right triangle has a hypotenuse and 2 sides called legs. The legs form a right angle. To find the area of a right triangle, use the legs as the base and height. Hypotenuse

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2. What is the area of the triangle? 3 cm 9 cm

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In an obtuse triangle, you can extend a side to find the height. Obtuse Angle: Angle greater than 90˚

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3. What is the area of the triangle? 5 ft 12 ft

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4. What is the height of a triangle with an area of 40m 2 and a base of 10 m?

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5. The Clarke family built a triangular deck at the back of their house. What Is the area of the triangular deck if the base is 9 yards and the height is 7 yards? Draw the triangular deck and label the base and the height. Write the formula for finding the area of a triangle. Substitute the base and height into the formula. Solve the formula to determine the area of the triangular deck.

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6. A triangular pennant has a base that is 18 inches long and a height of 6 ½ inches. What is the area of the pennant? Draw the triangular pennant and label the base and the height. Write the formula for finding the area of a triangle. Substitute the base and height into the formula. Solve the formula to determine the area of the triangular pennant.

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7. The Area of a triangle is 30 yd 2 and its height is 6 yd. What is the length of the base? Write the formula for finding the area of a triangle. Substitute the Area and height into the formula. Solve the formula to determine the base of the triangle.

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8. Mr. Butler drew these two triangles on the board: 1. What is the area of Triangle A? 2. What is the area of Triangle B? 3. Describe what you notice about the two triangles. 34 in 30 in 26 in 18 in 26 in Triangle A Triangle B

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