9.2 special right triangles

9.2 special right triangles

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

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Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

In a 30-60-90 triangle, the side lengths are in the ratio 1 : √3 : 2. The shortest side (opposite the 30° angle) is x, the longer leg (opposite the 60° angle) is x√3, and the hypotenuse is 2x.

2.

FLASHCARD QUESTION

Front

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

Back

In a 45-45-90 triangle, the side lengths are in the ratio 1 : 1 : √2. Both legs are of equal length, and the hypotenuse is √2 times the length of one leg.

3.

FLASHCARD QUESTION

Front

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

Back

To find the length of the hypotenuse in a 45-45-90 triangle, multiply the length of one leg by √2.

4.

FLASHCARD QUESTION

Front

What is the formula for the diagonal of a square in terms of its side length?

Back

The length of the diagonal (d) of a square with side length (s) is given by the formula d = s√2.

5.

FLASHCARD QUESTION

Front

How do you find the height of an equilateral triangle using the 30-60-90 triangle theorem?

Back

To find the height (h) of an equilateral triangle with side length (s), use the formula h = (s√3)/2.

6.

FLASHCARD QUESTION

Front

What is the relationship between the angles and sides in a special right triangle?

Back

In special right triangles, the angles determine the ratios of the sides. For example, in a 30-60-90 triangle, the angles dictate the specific ratios of the sides.

7.

FLASHCARD QUESTION

Front

What is the approximate height of a 30-60-90 triangle with a short leg of length 16?

Back

The height (long leg) of a 30-60-90 triangle with a short leg of length 16 is 16√3.

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