Q. Which of the following statements about triangles is true?
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A.
All triangles are equilateral.
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B.
The sum of the angles in a triangle is 180 degrees.
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C.
A triangle can have two right angles.
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D.
The area of a triangle is always greater than its perimeter.
Solution
The sum of the angles in any triangle is always 180 degrees, which is a fundamental property of triangles.
Correct Answer:
B
— The sum of the angles in a triangle is 180 degrees.
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Q. Which of the following statements is true regarding an equilateral triangle?
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A.
All sides are of different lengths.
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B.
All angles are equal.
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C.
It can have one obtuse angle.
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D.
The area can be calculated using the Pythagorean theorem.
Solution
In an equilateral triangle, all sides are equal and all angles are equal, each measuring 60 degrees.
Correct Answer:
B
— All angles are equal.
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Q. Which of the following triangles has the largest area given the same base?
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A.
Equilateral triangle
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B.
Isosceles triangle
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C.
Scalene triangle
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D.
Right triangle
Solution
For a given base, an equilateral triangle has the maximum area compared to other types of triangles.
Correct Answer:
A
— Equilateral triangle
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Q. Which of the following triangles has the largest area?
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A.
Triangle with sides 3, 4, 5
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B.
Triangle with sides 5, 12, 13
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C.
Triangle with sides 6, 8, 10
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D.
Triangle with sides 7, 24, 25
Solution
Using the formula for the area of a triangle, the triangle with sides 7, 24, 25 has the largest area due to its larger base and height.
Correct Answer:
D
— Triangle with sides 7, 24, 25
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