If one angle of a triangle is $$90\text{°}$$ and another is $$30\text{°}$$ , what is the measure of the third angle?

The third angle measures $$60\text{°}$$ .

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: $$a^2 + b^2 = c^2$$ .

If the lengths of the two legs of a right triangle are 3 and 4, what is the length of the hypotenuse?

The length of the hypotenuse is 5, calculated using the Pythagorean theorem: $$3^2 + 4^2 = 5^2$$ .

What is the definition of complementary angles?

Complementary angles are two angles whose measures add up to $$90\text{°}$$ .

What is the definition of supplementary angles?

Supplementary angles are two angles whose measures add up to $$180\text{°}$$ .

If two angles are supplementary and one angle measures $$110\text{°}$$ , what is the measure of the other angle?

The other angle measures $$70\text{°}$$ .

What is the exterior angle theorem?

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles.

Triangle Homework 1 Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

How many right angles can a triangle have?

Back

A triangle can have only 1 right angle.

Tags

CCSS.8.G.A.5

2.

FLASHCARD QUESTION

Front

What does the triangle sum theorem state?

Back

Tags

CCSS.8.G.A.5

3.

FLASHCARD QUESTION

Front

What is the name of a triangle with all sides equal?

Back

A triangle with all sides equal is called an Equilateral triangle.

Tags

CCSS.4.G.A.2

4.

FLASHCARD QUESTION

Front

What is the name of a triangle with two equal sides?

Back

A triangle with two equal sides is called an Isosceles triangle.

Tags

CCSS.4.G.A.2

5.

FLASHCARD QUESTION

Front

What is the name of a triangle with no equal sides?

Back

A triangle with no equal sides is called a Scalene triangle.

Tags

CCSS.4.G.A.2

6.

FLASHCARD QUESTION

Front

What is the measure of each angle in an equilateral triangle?

Back

Tags

CCSS.8.G.A.5

7.

FLASHCARD QUESTION

Front

What is the relationship between the angles in a right triangle?

Back

Tags

CCSS.8.G.A.5

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