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posledela
3 years ago
14

Which of the following ratios is used in finding the tangent of an angle in a right triangle?

Mathematics
1 answer:
Softa [21]3 years ago
8 0
Looking at the triangle from the aspect of the reference angle, the tangent of that angle would be the ratio of the side opposite the angle over the side adjacent to the angle (which is NOT the hypotenuse!)
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Answer:

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Step-by-step explanation:

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How do you this question? Please explain.
Nuetrik [128]

Answer:

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Step-by-step explanation:

Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.

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... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values

... CB = √60 = 2√15 . . . . . . . take the square root; simplify

_____

<em>Comment on this solution</em>

The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...

... CB = √(AC·CT) . . . . as above

This is true for any right triangle — another fact of geometry to put in your list of geometry facts.

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Step-by-step explanation:

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