Similarity and Trigonometric Ratio

State the hypotenuse for the angle x in the right-angled triangle.

Nyatakan hipotenus bagi sudut x dalam segi tiga bersudut tegak.

State the adjacent side for the angle x in the right-angled triangle.

Nyatakan sisi bersebelahan bagi sudut x dalam segi tiga bersudut tegak.

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CCSS.HSG.SRT.C.6

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

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CCSS.HSG.SRT.A.2

What is the length of side x?

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm

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CCSS.HSG.SRT.C.8

Which proportion would be correct in order to solve for x.  (Hint: remember the side splitter theorem states the sides of the triangles are proportional)

• x/10 = 15/30

• x/10 = 45/30

• x/10 = 15/45

• x/10 = 30/15

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CCSS.HSG.SRT.B.4

Which side is opposite angle x?

• 1

• 2

• 3

What is the correct ratio?

• 7/24

• 24/7

• 7/25

• 24/25

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CCSS.HSG.SRT.C.6

Find x if sin 22^o = 2/x.

• 6.78

• 0.75

• 2.14

• 5.34

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CCSS.HSG.SRT.C.8

Which trigonometric ratio should you use?

• Tangent Ratio

• Sine Ratio

• Cosine Ratio

• Any ratio

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CCSS.HSG.SRT.C.6

Solve for x. Round to the nearest tenth.

• 7.5

• 34.1

• 14.1

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CCSS.HSG.SRT.C.8