What is the sum of the legs of a 45-45-90 triangle with legs of length 7?

The sum of the legs is $$7 + 7 = 14$$ .

What is the altitude of a 30-60-90 triangle if the longer leg is 10?

The altitude can be found using the properties of the triangle, which gives $$10 \times \frac{1}{\text{√3}}$$ .

What is the value of x in a 45-45-90 triangle if one leg is $$5\text{√2}$$ ?

The value of x (the hypotenuse) is $$5\text{√2} \times \text{√2} = 10$$ .

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

The shorter leg is $$\frac{12}{2} = 6$$ .

What is the relationship between the legs and the hypotenuse in a right triangle?

In any right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs (Pythagorean theorem): $$c^2 = a^2 + b^2$$ .

How do you find the area of a right triangle?

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

What is the value of x in a 30-60-90 triangle if the shorter leg is 4?

The value of x (the hypotenuse) is $$4 \times 2 = 8$$ .

If the legs of a 45-45-90 triangle are both 8, what is the hypotenuse?

The hypotenuse is $$8 \times \text{√2}$$ .

Special Right Triangles Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures and side length ratios. The two main types are the 45-45-90 triangle and the 30-60-90 triangle.

Tags

CCSS.HSG.CO.C.10

2.

FLASHCARD QUESTION

Front

What are the side length ratios of a 45-45-90 triangle?

Back

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

What are the side length ratios of a 30-60-90 triangle?

Back

Tags

CCSS.HSG.CO.C.10

4.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.CO.C.10

6.

FLASHCARD QUESTION

Front

If the leg of a 45-45-90 triangle is 10, what is the hypotenuse?

Back

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

If the shorter leg of a 30-60-90 triangle is 5, what is the longer leg?

Back

Tags

CCSS.HSG.CO.C.10

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