Podcast
Questions and Answers
Which triangle's area can be calculated using the trigonometric area formula?
Which triangle's area can be calculated using the trigonometric area formula?
- Isosceles triangle (correct)
- Scalene triangle
- Equilateral triangle
- Right triangle
What is the approximate perimeter of the parallelogram WXYZ if its area is approximately 45 square units?
What is the approximate perimeter of the parallelogram WXYZ if its area is approximately 45 square units?
30 units
To the nearest square inch, how much fabric will Lian use to make all three isosceles triangles?
To the nearest square inch, how much fabric will Lian use to make all three isosceles triangles?
417 square inches
What is the perimeter of triangle EFG if its area is 34.8 square units?
What is the perimeter of triangle EFG if its area is 34.8 square units?
What is the area of triangle XYZ if the perimeter is 24 units?
What is the area of triangle XYZ if the perimeter is 24 units?
What is the area of an equilateral triangle with a semiperimeter of 6 meters?
What is the area of an equilateral triangle with a semiperimeter of 6 meters?
What is the approximate total area of the plastic triangles on the spinner?
What is the approximate total area of the plastic triangles on the spinner?
Using the definition of sine, the expression representing the area of triangle ABC is _____
Using the definition of sine, the expression representing the area of triangle ABC is _____
What is the area of triangle DEF rounded to the nearest tenth of a square unit?
What is the area of triangle DEF rounded to the nearest tenth of a square unit?
Which expressions represent the area of triangle ABC? (Select three options)
Which expressions represent the area of triangle ABC? (Select three options)
If the perimeter of Lila's triangular flag is 20 inches, how many square inches of fabric were used to make the flag?
If the perimeter of Lila's triangular flag is 20 inches, how many square inches of fabric were used to make the flag?
What is the area of triangle ABC rounded to the nearest tenth of a square unit?
What is the area of triangle ABC rounded to the nearest tenth of a square unit?
What is the area of the triangle if it has a semiperimeter of 6 meters?
What is the area of the triangle if it has a semiperimeter of 6 meters?
What is the approximate cost of Jace's banner in the shape of a parallelogram if the print shop charges $1.10 per square foot for banners?
What is the approximate cost of Jace's banner in the shape of a parallelogram if the print shop charges $1.10 per square foot for banners?
What is the area of triangle LMN with two sides measuring 7 meters and 6 meters and a perimeter of 16 meters?
What is the area of triangle LMN with two sides measuring 7 meters and 6 meters and a perimeter of 16 meters?
What is the area of triangle XYZ rounded to the nearest tenth of a square unit?
What is the area of triangle XYZ rounded to the nearest tenth of a square unit?
What is the area of triangle ABC rounded to the nearest hundredth of a square unit?
What is the area of triangle ABC rounded to the nearest hundredth of a square unit?
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Study Notes
Area and Perimeter of Triangles
- Trigonometric area formula: Area = (1/2)ab sin(C), applicable for triangles.
- Parallelogram WXYZ has an area of approximately 45 square units; perimeter is about 30 units.
- Three congruent isosceles triangles cut by Lian have a combined fabric area of approximately 417 square inches.
- Triangle EFG has an area of 34.8 square units; its perimeter rounds to 29 units.
- Triangle XYZ's perimeter is 24 units; its area estimates to 14.7 square units.
- Equilateral triangle with a 6-meter semiperimeter has an area of approximately 7 square meters using Heron's formula.
- Spinner's triangular arrows have bases measuring 2 centimeters, with combined area approximately 7.7 square centimeters.
- Area derivation for triangle ABC using angle C shows that area = (1/2)ab sin(C), with h = b sin(C).
- Area of triangle DEF using trigonometric formula approximates to 10.3 square units.
- Area expressions for triangle ABC include options B, C, and E.
- Lila's triangular flag has a perimeter of 20 inches; fabric used is approximately 15 square inches.
- Calculated area of triangle ABC rounds to 61.8 square units.
- Another equilateral triangle with a 6-meter semiperimeter results in an area of 7 square meters.
- Jace's banner in the shape of a parallelogram costs approximately $92.30 before tax at $1.10 per square foot.
- Triangle LMN features sides of 7 meters and 6 meters, with an area of approximately 9 square meters.
- Triangle XYZ, with a perimeter of 24 units, has an estimated area of 14.7 square units.
- Additional calculations show an area of triangle ABC rounding to approximately 81.33 square units.
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