What type of triangle is formed by the angles 45°, 45°, and 90°?

It is a 45°-45°-90° triangle.

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

The longer leg is $$x\text{√3}$$ .

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

Area = $$\frac{1}{2} \times 10 \times 10 = 50$$ .

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

The longer leg is $$6\text{√3}$$ .

What is the sum of the angles in any triangle?

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

If the legs of a 45°-45°-90° triangle are both 5, what is the length of the hypotenuse?

The hypotenuse is $$5\text{√2}$$ .

What is the definition of a special right triangle?

A special right triangle is a right triangle with specific angle measures (45°-45°-90° or 30°-60°-90°) that allow for easy calculation of side lengths.

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

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

What is a 30°-60°-90° triangle?

Back

Tags

CCSS.HSG.CO.C.10

3.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.G.B.8

4.

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

5.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.CO.C.10

6.

FLASHCARD QUESTION

Front

Find the length of the hypotenuse in a 30°-60°-90° triangle if the longer leg is 8.

Back

The hypotenuse is 16.

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

What is the formula to find the length of the hypotenuse in a 45°-45°-90° triangle?

Back

Tags

CCSS.8.G.B.8

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