Area of triangles

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Area of triangles. Unit 5. 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. Formula for area of a triangle.
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Area of trianglesUnit 5Getting 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 = in2
  • Square Centimeters = cm2
  • Formula for area of a triangle.
  • Area equals one-half the base (b) times the
  • height (h).
  • A = ½bh
  • hbhb1. What is the area of the triangle?
  • Step One: Determine the formula for the area of a triangle.
  • A = ½ bh
  • Step Two:Substitute the values for the baseand the height
  • into the formula.
  • The base, b, measures 8 inches and the height, h, measures
  • 4 inches.
  • A = ½ (8)(4)
  • Step Three: Multiply
  • A = ½ (8)(4)
  • A = ½ (32) = ● =
  • A = *divide by 2*
  • A = 16
  • Step Four: Write the answer with correct unit of measure squared.
  • Area = 16 in2
  • 4 in8 inRight 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.
  • Hypotenuse2. What is the area of the triangle?
  • Step One: Determine the formula for the area of a triangle.
  • A = ½ bh
  • Step Two:Substitute the values for the base and the heightinto the formula.
  • The base, b, measures 9 cm and the height, h, measures 3 cm.
  • A = ½ (9)(3)
  • Step Three: Multiply
  • A = ½(9)(3)
  • A = ½ (27) = ● =
  • A = *divide by 2*
  • A = 13.5
  • Step Four: Write the answer with correct unit of measure
  • squared.
  • Area = 13.5 cm2
  • 3 cm9 cmIn an obtuse triangle, you can extend a side to find the height.Obtuse Angle: Angle greater than 90˚3. What is the area of the triangle?
  • Step One: Determine the formula for the area of a
  • triangle.
  • A = ½ bh
  • Step Two:Substitute the values for the base and the height
  • into the formula.
  • The base, b, measures 12 feet and the height, h, measures 5 feet.
  • A = ½ (12)(5)
  • Step Three: Multiply
  • A = ½(12)(5)
  • A = ½ (60) = ● =
  • A = *divide by 2*
  • A = 30
  • Step Four: Write the answer with correct unit of measure squared.
  • Area = 30 ft2
  • 5 ft12 ft4. What is the height of a triangle with an area of 40m2and a base of 10 m?
  • Step One:Determine the formula for the area of a triangle.
  • A = ½ bh
  • Step Two:Substitute the values for the areaand the base into the formula.
  • The Area , A, is 40 m2 and the base, b, measures 10 m.
  • 40 = ½ (10)(h)
  • Step Three: Solve the Equation
  • 40 = ½ (10)(h) = ● (h) = (h) = 5h
  • 40 = 5h *divide both sides of equal sign by 5 (isolate the variable)
  • 8= h
  • Step Four: Write the answer with correct unit of measure.
  • height = 8 m
  • 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.
  • 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.
  • 7. The Area of a triangle is 30 yd2 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.
  • 8. Mr. Butler drew these two triangles on the board:34 in34 in
  • 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.
  • 18 in26 in30 in30 inTriangle A26 inTriangle B
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