If the legs of a 45-45-90 triangle are each 4, what is the area?

The area is $$\frac{1}{2} \times 4 \times 4 = 8$$ .

In a 30-60-90 triangle, if the longer leg is 12, what is the length of the hypotenuse?

The hypotenuse is $$\frac{12}{\text{√}3} \times 2 = 8\text{√}3$$ .

What is the value of $$x$$ in a 45-45-90 triangle if the hypotenuse is 8?

$$x = \frac{8}{\text{√}2} = 4\text{√}2$$ .

If the shorter leg of a 30-60-90 triangle is 9, what is the length of the longer leg?

The longer leg is $$9\text{√}3$$ .

If the hypotenuse of a 30-60-90 triangle is 18, what is the length of the shorter leg?

The shorter leg is $$\frac{18}{2} = 9$$ .

What is the formula for the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, $$a^2 + b^2 = c^2$$ , where $$c$$ is the hypotenuse and $$a$$ and $$b$$ are the legs.

Special Right Triangles Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a 45-45-90 triangle?

Back

2.

FLASHCARD QUESTION

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

3.

FLASHCARD QUESTION

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle?

Back

4.

FLASHCARD QUESTION

Front

How do you find the length of the longer leg in a 30-60-90 triangle?

Back

5.

FLASHCARD QUESTION

Front

If one leg of a 45-45-90 triangle is 8, what is the length of the hypotenuse?

Back

6.

FLASHCARD QUESTION

Front

If the hypotenuse of a 30-60-90 triangle is 14, what is the length of the shorter leg?

Back

7.

FLASHCARD QUESTION

Front

What is the formula to find the area of a triangle?

Back

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