The length of segment BD is mathematically given as
BD=5.82 units. Option D
What is the length of segment BD?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a theorem in mathematics that establishes a relationship between the lengths of the three sides of a right triangle, based on the assumptions of Euclidean geometry. The area of the square with the hypotenuse as a side equals the product of the areas of the squares with the other two sides.
Generally, the equation for Pythagoras rule is mathematically given as
SOACAHTOA
Where
BD = hypotenuse
AB = 3 = opposite
Therefore
[tex]sin \theta = opp / hypo[/tex][tex]sin \theta = opp / hypo[/tex]
sin 31° = 3 / hypo
Hypo * 0.5150380 = 3
Hypo = 3 / 0.515
Hypo= 5.82 units
In conclusion, the length of segment BD
Hypo= BD
BD=5.82 units
Read more about Pythagoras' rule
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