Please solve this question.
1 answer:
Answer:
An equilateral triangle is formed.
Step-by-step explanation:
Since you construct two lines of 60° at points P and Q, the two ends of the line, you construct a triangle with two angles as 60°.
Hence, with the knowledge that the angle sum of a triangle is 180°, we can find that the remaining angle is =
.
Therefore, a triangle with all angles at 60° is an equilateral triangle.
Hope this helped!
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In terms of the trigonometric ratios for ΔABD, what is the length of line segment BD?
Answer:
Step-by-step explanation:
∆ABD is a right triangle.
Recall: trigonometric ratios of any right triangle can easily be understood or remembered with the acronym, SOHCAHTOA.
SOH => sin(θ) = opposite/hypotenuse
CAH => Cos(θ) = adjacent/hypotenuse
TOA = tan(θ) = opposite/adjacent
Thus, the length of segment BD, in terms of trigonometric ratios for ∆ABD can be done as follows:
Let BD = x
AB = c
AD = b
=>The sine ratio for the length of line segment BD = x, using SOH.
θ = A
Opposite = DB = x
hypotenuse = AB = c
Make x the subject of formula.
=>The Cosine ratio for the length of line segment BD = x, using CAH
θ = B
Adjacent = DB = x
hypotenuse = AB = c
Make x the subject of formula.
=>The Tangent ratio for the length of line segment BD = x, using TOA
θ = A
Adjacent = DB = x
hypotenuse = AD = b
Make x the subject of formula.