Using the technique in the model above, find the missing segments in this 30, 60, 90 right triangle. BC=2

Mathematics

1 answer:

UNO [17]4 years ago

8 0

The value of the missing segment AB is 4 units

Step-by-step explanation:

A 30,60,90 triangle , is a special right triangle that always contains degree angles 30°, 60° and 90°. It has its side length values which are consistent with one another such when the hypotenuse value is 2 units, the base length is 1 unit and the height is √3 units in relation to the Pythagoras theorem.

In this case, right-triangle CDB has a base angles 60° and 90°.Here the hypotenuse BC=2 units, this will mean the base length DB = 1 unit and the height DC is √3 units. So finding AD, you have CD =√3 and angle CAD =30°, applying the tangent of an angle formula;

tan Ф°=opposite length/adjacent length

tan 30°=√3/AD

AD= √3 /tan 30°

AD= 3 units

Missing segments AB=AD+DB

AB=3+1=4

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Special right-triangle : brainly.com/question/12046883

Keyword: right-triangle, segments

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QveST [7]

Answer:

See explanation

Step-by-step explanation:

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