Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be used.
What are the missing side lengths for triangle ABC?
403
4
12
873
82
8
42
30
60°
43

Drag each length to the correct location on the triangle Each length can be used more than once but not all lengths will be used What are the missing side lengt class=

Respuesta :

Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

Trigonometry Ratios

To find the missing side lengths of the right triangle ABC, we would apply SOH CAH TOA, where necessary.

Thus:

Reference angle (∅) = 60

Adjacent = 4√3

Opposite = ?

Apply TOA:

tan 60 = opp/adj

tan 60 = Opp/4√3

√3 = opp/4√3

Opposite = √3 × 4√3

Opposite = 12

Find the other missing side:

Reference angle (∅) = 60

Adjacent = 4√3

Hypotenuse = ?

Apply CAH:

cos 60 = adj/hyp

cos 60 = 4√3/hyp

hyp = 4√3/cos 60

hyp = 4√3/1/2

hyp = 4√3 × 2

hyp = 8√3

Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

Learn more about trigonometry ratios on:

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