In a 45-45-90 triangle, what are the ratios of the sides?

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is $$\text{leg} \times \text{sqrt}(2)$$ .

In a 30-60-90 triangle, what are the ratios of the sides?

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1 : $$\text{sqrt}(3)$$ : 2, where 1 is the length of the side opposite the 30-degree angle.

How do you solve for x in a right triangle using the Pythagorean Theorem?

To solve for x, rearrange the Pythagorean Theorem: if you know a and b, then $$x = \text{sqrt}(a^2 + b^2)$$ .

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

In a right triangle, the side opposite the largest angle (90 degrees) is the hypotenuse, and the other two sides are the legs.

What is the formula for finding the area of a right triangle?

The area of a right triangle can be found using the formula: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ .

What is the definition of a right triangle?

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

What is the significance of the hypotenuse in a right triangle?

The hypotenuse is the longest side of a right triangle and is opposite the right angle.

How can you determine if a triangle is a right triangle using side lengths?

You can determine if a triangle is a right triangle by checking if the lengths of the sides satisfy the Pythagorean Theorem: $$a^2 + b^2 = c^2$$ .

Unit 5 Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

If you know the lengths of two sides of a right triangle, how can you find the length of the third side?

Back

Tags

CCSS.8.G.B.8

4.

FLASHCARD QUESTION

Front

What is the sine function in relation to a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

What is the cosine function in relation to a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

What is the tangent function in relation to a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

7.

FLASHCARD QUESTION

Front

What is a special right triangle?

Back

A special right triangle is a right triangle with specific angle measures, such as 30-60-90 or 45-45-90 triangles, which have known side length ratios.

Tags

CCSS.8.G.B.8

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