Question

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 the triangle? 10 5

Answer 1

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

What is Trigonometry Ratios?

Trigonometric ratios are defined as the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

According to the given information:

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.

To know more about trigonometry visit:

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