If one angle of a triangle is $$60\text{°}$$ and another is $$70\text{°}$$ , what is the third angle?

The third angle is $$50\text{°}$$ (since $$180\text{°} - 60\text{°} - 70\text{°} = 50\text{°}$$ ).

What is the formula for the area of a triangle?

The area of a triangle is given by the formula: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ .

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: $$a^2 + b^2 = c^2$$ .

How do you find the length of a side in a triangle using the sine rule?

The sine rule states that $$ \frac{a}{\text{sin}(A)} = \frac{b}{\text{sin}(B)} = \frac{c}{\text{sin}(C)} $$ , where a, b, and c are the lengths of the sides opposite angles A, B, and C respectively.

What is the definition of a median in a triangle?

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

What is the definition of a centroid?

The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass of the triangle.

What is the relationship between the sides and angles in a triangle?

In a triangle, the larger the angle, the longer the side opposite to it.

If the lengths of two sides of a triangle are known, how can you find the range of possible lengths for the third side?

The length of the third side must be less than the sum and greater than the difference of the lengths of the other two sides.

Geometry CA3 Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the sum of the interior angles of a triangle?

Back

2.

FLASHCARD QUESTION

Front

Define an isosceles triangle.

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

3.

FLASHCARD QUESTION

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.

4.

FLASHCARD QUESTION

Front

What is the definition of an acute triangle?

Back

5.

FLASHCARD QUESTION

Front

What is a right triangle?

Back

6.

FLASHCARD QUESTION

Front

How do you find the exterior angle of a triangle?

Back

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

7.

FLASHCARD QUESTION

Front

What is the relationship between the angles in a triangle?

Back

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