What is the value of the longer leg in a 30-60-90 triangle if the shorter leg is 3?

The longer leg is $$3\text{sqrt}(3)$$ .

What is the area of a 45-45-90 triangle with legs of length 10?

The area is $$\frac{1}{2} \times 10 \times 10 = 50$$ .

What is the formula for the area of a right triangle?

The area is given by $$\frac{1}{2} \times \text{base} \times \text{height}$$ .

In a 45-45-90 triangle, if the hypotenuse is 10, what is the length of each leg?

Each leg is $$\frac{10}{\text{sqrt}(2)} = 5\text{sqrt}(2)$$ .

What is the sum of the angles in any triangle?

The sum of the angles in any triangle is 180°.

What is the Pythagorean theorem?

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: $$a^2 + b^2 = c^2$$ .

How do you determine if a triangle is a right triangle?

A triangle is a right triangle if it satisfies the Pythagorean theorem: $$a^2 + b^2 = c^2$$ .

What is the significance of special right triangles in geometry?

Special right triangles provide specific ratios that simplify calculations in trigonometry and geometry.

Special Right Triangles Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a 45-45-90 triangle?

Back

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

What is the relationship between the legs and hypotenuse in a 30-60-90 triangle?

Back

Tags

CCSS.HSG.CO.C.10

3.

FLASHCARD QUESTION

Front

How do you find the length of a leg in a 45-45-90 triangle if the hypotenuse is known?

Back

Tags

CCSS.8.G.B.8

4.

FLASHCARD QUESTION

Front

What is the value of the hypotenuse in a 45-45-90 triangle if each leg is 5?

Back

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

In a 30-60-90 triangle, if the shorter leg is 4, what is the length of the longer leg?

Back

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

What is the value of the hypotenuse in a 30-60-90 triangle if the shorter leg is 6?

Back

The hypotenuse is 12.

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

How do you find the length of the shorter leg in a 30-60-90 triangle if the hypotenuse is known?

Back

Divide the length of the hypotenuse by 2.

Tags

CCSS.8.G.B.8

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