Trigonometry Quiz On Triangles! Math Trivia

1. A right triangle doesn't contain a 90 degree angle.

True

False

A right triangle always contains a 90 degree angle. This is one of the defining characteristics of a right triangle. Therefore, the statement that a right triangle doesn't contain a 90 degree angle is false.

Explanation

A right triangle always contains a 90 degree angle. This is one of the defining characteristics of a right triangle. Therefore, the statement that a right triangle doesn't contain a 90 degree angle is false.

2. The total interior angle measure for a triangle is 180 degrees.

True

False

The total interior angle measure for a triangle is always 180 degrees. This is a fundamental property of triangles in Euclidean geometry. The sum of the three interior angles in any triangle will always equal 180 degrees. This property can be proven using various geometric theorems and postulates. Therefore, the statement "The total interior angle measure for a triangle is 180 degrees" is true.

Explanation

The total interior angle measure for a triangle is always 180 degrees. This is a fundamental property of triangles in Euclidean geometry. The sum of the three interior angles in any triangle will always equal 180 degrees. This property can be proven using various geometric theorems and postulates. Therefore, the statement "The total interior angle measure for a triangle is 180 degrees" is true.

3. There are two right angles in a right triangle.

True

False

A right triangle has one right angle, which is an angle measuring 90 degrees. Therefore, the statement that there are two right angles in a right triangle is incorrect.

Explanation

A right triangle has one right angle, which is an angle measuring 90 degrees. Therefore, the statement that there are two right angles in a right triangle is incorrect.

4. If a three sided figure has a 80,90, 90 angle measurement it is a triangle.

True

False

A triangle is a three-sided figure, but not all three-sided figures are triangles. In this case, the given angle measurements of 80, 90, and 90 degrees do not satisfy the criteria for a triangle. In a triangle, the sum of all three angles must be 180 degrees. Since the given measurements do not add up to 180 degrees, it cannot be a triangle. Therefore, the correct answer is false.

Explanation

A triangle is a three-sided figure, but not all three-sided figures are triangles. In this case, the given angle measurements of 80, 90, and 90 degrees do not satisfy the criteria for a triangle. In a triangle, the sum of all three angles must be 180 degrees. Since the given measurements do not add up to 180 degrees, it cannot be a triangle. Therefore, the correct answer is false.

5. In a equilateral triangle all angles are equal to?

456

230

420

60

In an equilateral triangle, all angles are equal. Since an equilateral triangle has three angles, each angle must be equal to 60 degrees.

Explanation

In an equilateral triangle, all angles are equal. Since an equilateral triangle has three angles, each angle must be equal to 60 degrees.

6. A scalene triangle has equal sides and angles.

True

False

A scalene triangle is a type of triangle that has no equal sides or angles. Therefore, the statement that a scalene triangle has equal sides and angles is false.

Explanation

A scalene triangle is a type of triangle that has no equal sides or angles. Therefore, the statement that a scalene triangle has equal sides and angles is false.

7. The equation to the pythagorean theorem is a+b=c

True

False

The equation to the Pythagorean theorem is actually a^2 + b^2 = c^2, not a+b=c. This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). Therefore, the given statement is false.

Explanation

The equation to the Pythagorean theorem is actually a^2 + b^2 = c^2, not a+b=c. This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). Therefore, the given statement is false.

8. In a scalene triangle, all angles are diffrerent

True

False

A scalene triangle is a triangle with all sides of different lengths. Since the sum of the angles in any triangle is always 180 degrees, in a scalene triangle, the three angles must also be different in order to have different side lengths. Therefore, the statement "In a scalene triangle, all angles are different" is true.

Explanation

A scalene triangle is a triangle with all sides of different lengths. Since the sum of the angles in any triangle is always 180 degrees, in a scalene triangle, the three angles must also be different in order to have different side lengths. Therefore, the statement "In a scalene triangle, all angles are different" is true.

9. An isosceles has three equal sides

True

False

An isosceles triangle has two equal sides, not three. Therefore, the given statement is false.

Explanation

An isosceles triangle has two equal sides, not three. Therefore, the given statement is false.

10.

This is a isometric triangle .

True

False

The given statement is true because an isometric triangle is a type of equilateral triangle where all three sides are equal in length. In an isometric triangle, all three angles are also equal, measuring 60 degrees each. Therefore, the statement "This is an isometric triangle" is correct.

Explanation

The given statement is true because an isometric triangle is a type of equilateral triangle where all three sides are equal in length. In an isometric triangle, all three angles are also equal, measuring 60 degrees each. Therefore, the statement "This is an isometric triangle" is correct.