Right Triangle Trig Ratios and Finding Missing Sides

Flashcard

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.SRT.C.6, HSG.SRT.C.8, 8.G.B.7

Standards-aligned

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10 questions

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FLASHCARD QUESTION

Front

What is the mnemonic to remember trigonometric ratios?

Back

Soh Cah Toa

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

Solve for x in a right triangle where the opposite side is 12 and the hypotenuse is 15. What is x?

Back

x = 15.0

Tags

CCSS.HSG.SRT.C.8

FLASHCARD QUESTION

Front

Solve for x in a right triangle where the opposite side is 9 and the hypotenuse is 10. Round to the nearest tenth. What is x?

Back

x = 9.9

Tags

CCSS.HSG.SRT.C.8

FLASHCARD QUESTION

Front

What is the ratio for Sine in a right triangle?

Back

$\frac{O}{H}$ (Opposite over Hypotenuse)

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

What is the ratio for Cosine in a right triangle?

Back

$\frac{A}{H}$ (Adjacent over Hypotenuse)

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

What is the ratio for Tangent in a right triangle?

Back

$\frac{O}{A}$ (Opposite over Adjacent)

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

If the adjacent side is 8 and the hypotenuse is 10, what is the cosine of the angle?

Back

Cosine = $\frac{8}{10} = 0.8$

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

If the opposite side is 6 and the adjacent side is 8, what is the tangent of the angle?

Back

Tangent = $\frac{6}{8} = 0.75$

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

In a right triangle, if the hypotenuse is 13 and one leg is 5, what is the length of the other leg?

Back

Using Pythagorean theorem: $c^2 = a^2 + b^2$ , the other leg is 12.

Tags

CCSS.8.G.B.7

10.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

$a^2 + b^2 = c^2$ (where c is the hypotenuse)

Tags

CCSS.8.G.B.8

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