Podcast
Questions and Answers
In a triangle, two sides measure 5 cm and 8 cm. Which of the following could be a possible length for the third side based on the triangle inequality theorem?
In a triangle, two sides measure 5 cm and 8 cm. Which of the following could be a possible length for the third side based on the triangle inequality theorem?
- 14 cm
- 2 cm
- 12 cm (correct)
- 3 cm
A triangle has angles measuring 30 degrees and 60 degrees. What is the measure of the third angle, and what type of triangle is it based on its angles?
A triangle has angles measuring 30 degrees and 60 degrees. What is the measure of the third angle, and what type of triangle is it based on its angles?
- 90 degrees, acute triangle
- 120 degrees, obtuse triangle
- 150 degrees, acute triangle
- 90 degrees, right triangle (correct)
If the area of a triangle is 36 square cm and its base is 12 cm, what is the height of the triangle?
If the area of a triangle is 36 square cm and its base is 12 cm, what is the height of the triangle?
- 9 cm
- 12 cm
- 3 cm
- 6 cm (correct)
In triangle ABC, point D is the midpoint of side BC. Line segment AD is known as which of the following?
In triangle ABC, point D is the midpoint of side BC. Line segment AD is known as which of the following?
Which of the following statements is true about the orthocenter of a triangle?
Which of the following statements is true about the orthocenter of a triangle?
A triangle has sides of lengths 5 cm, 7 cm, and 10 cm. Calculate its semi-perimeter.
A triangle has sides of lengths 5 cm, 7 cm, and 10 cm. Calculate its semi-perimeter.
If a triangle has two sides measuring 6 cm and 8 cm, and the included angle between them is 30 degrees, what is the area?
If a triangle has two sides measuring 6 cm and 8 cm, and the included angle between them is 30 degrees, what is the area?
In a scalene triangle, which of the following statements is always true?
In a scalene triangle, which of the following statements is always true?
In triangle ABC, the angle bisector of angle A intersects side BC at point D. If AB = 10, AC = 15, and BD = 4, what is the length of DC?
In triangle ABC, the angle bisector of angle A intersects side BC at point D. If AB = 10, AC = 15, and BD = 4, what is the length of DC?
Which of the following statements is NOT a valid criterion for proving triangle congruence?
Which of the following statements is NOT a valid criterion for proving triangle congruence?
Two triangles, DEF and GHI, are similar. If DE = 6, EF = 8, DF = 10 and GH = 3, HI = 4, then what is the length of GI?
Two triangles, DEF and GHI, are similar. If DE = 6, EF = 8, DF = 10 and GH = 3, HI = 4, then what is the length of GI?
In a right triangle ABC, where C is the right angle, AC = 5 and BC = 12. What is the length of the altitude from C to the hypotenuse AB?
In a right triangle ABC, where C is the right angle, AC = 5 and BC = 12. What is the length of the altitude from C to the hypotenuse AB?
Which set of side lengths below can form a right triangle?
Which set of side lengths below can form a right triangle?
If $\sin(\theta) = \frac{5}{13}$ in a right triangle, what is the value of $\cos(\theta)$?
If $\sin(\theta) = \frac{5}{13}$ in a right triangle, what is the value of $\cos(\theta)$?
Which of the following is true about the circumcenter of a triangle?
Which of the following is true about the circumcenter of a triangle?
In triangle ABC, angle A = 40 degrees and angle B = 60 degrees. Which side is the longest?
In triangle ABC, angle A = 40 degrees and angle B = 60 degrees. Which side is the longest?
Flashcards
What is a Triangle?
What is a Triangle?
A polygon with three edges and three vertices.
Equilateral Triangle
Equilateral Triangle
All three sides are equal in length, and all angles are 60 degrees.
Isosceles Triangle
Isosceles Triangle
Two sides are equal in length, and the angles opposite these sides are also equal.
Scalene Triangle
Scalene Triangle
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Right Triangle
Right Triangle
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Acute Triangle
Acute Triangle
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Obtuse Triangle
Obtuse Triangle
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What is a Median?
What is a Median?
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Orthocenter
Orthocenter
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Angle Bisector
Angle Bisector
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Incenter
Incenter
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Incircle
Incircle
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Perpendicular Bisector
Perpendicular Bisector
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Circumcenter
Circumcenter
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Circumcircle
Circumcircle
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Pythagorean Theorem
Pythagorean Theorem
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Study Notes
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Description
Explore the definition, classification, and key properties of triangles in geometry. Learn about equilateral, isosceles, and scalene triangles based on side lengths. Understand right, acute, and obtuse triangles based on interior angles.
