What is the cosine ratio in a right triangle?

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It can be expressed as: $$cos(\theta) = \frac{adjacent}{hypotenuse}$$ .

If side a = 9 and side b = 12, what is the length of side c?

Using the Pythagorean Theorem: $$c^2 = 9^2 + 12^2 = 81 + 144 = 225$$ , therefore, $$c = \sqrt{225} = 15$$ .

What is the area of a right triangle with base 10 cm and height 5 cm?

The area (A) can be calculated using the formula: $$A = \frac{1}{2} \times base \times height = \frac{1}{2} \times 10 \times 5 = 25 cm^2$$ .

What is the definition of a right triangle?

A right triangle is a triangle that has one angle measuring 90 degrees.

What is the relationship between the angles in a right triangle?

The sum of the angles in any triangle is 180 degrees. In a right triangle, one angle is 90 degrees, so the other two angles must sum to 90 degrees.

If the hypotenuse is 10 cm and one side is 6 cm, what is the length of the other side?

Using the Pythagorean Theorem: $$c^2 = 10^2 - 6^2 = 100 - 36 = 64$$ , therefore, the other side is $$\sqrt{64} = 8 cm$$ .

What is the tangent of a 45-degree angle?

The tangent of a 45-degree angle is 1, since the opposite and adjacent sides are equal.

What is the formula for finding the height of a right triangle using the Pythagorean Theorem?

The height (h) can be found using the formula: $$h = \sqrt{c^2 - a^2}$$ or $$h = \sqrt{c^2 - b^2}$$ , where c is the hypotenuse and a or b is one of the other sides.

Pythagorean Theorem and Trig Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

2.

FLASHCARD QUESTION

Front

What is the formula for the tangent ratio in a right triangle?

Back

3.

FLASHCARD QUESTION

Front

What is the height of a cone with a radius of 5 cm and a slant height of 13 cm?

Back

4.

FLASHCARD QUESTION

Front

In a right triangle, which side is always the longest?

Back

The hypotenuse is always the longest side in a right triangle.

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

If the opposite side is 30 and the adjacent side is 40, what is the tangent ratio?

Back

7.

FLASHCARD QUESTION

Front

What is the sine ratio in a right triangle?

Back

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