Answer:
however the meaning of math
Step-by-step explanation:
20+20
Answer:
148.005
Step-by-step explanation:
Answer:
2. Not enough information
4. Congruent SAS
4. Similar, not enough information to determine congruency.
Step-by-step explanation:
2. We only know one side and one angle are congruent, Not enough to determine congruency
4. We know two sides and the angle between are vertical angles and vertical angles are congruent. SAS is how the triangles are congruent.
6. The three angles are congruent which makes the triangles similar. We need to know a side if they are to be congruent
Answer:
d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))
Step-by-step explanation:
The Law of Sines tells us that sides of a triangle are proportional to the sine of the opposite angle. This can be used along with a trig identity to demonstrate the required relation.
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<h3>top triangle</h3>
The law of sines applied to the top triangle is ...
BC/sin(A) = AC/sin(θ)
Triangle ABC is isosceles, so the base angles at B and C are congruent. Then the angle at vertex A is ...
∠A = 180° -θ -θ = 180° -2θ
A trig identity tells us the sine of an angle is equal to the sine of its supplement. That means the sine of angle A is ...
sin(A) = sin(180° -2θ) = sin(2θ)
and our above Law of Sines equation tells us ...
BC = sin(A)/sin(θ)·AC = k·sin(2θ)/sin(θ)
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<h3>bottom triangle</h3>
The law of sines applied to the bottom triangle is ...
DC/sin(B) = BC/sin(D)
d/sin(α) = BC/sin(β)
Multiplying by sin(α) we have ...
d = BC·sin(α)/sin(β)
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Using our expression for BC gives the desired relation:
d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))
I don’t understand what you’re trying to find! I think it cut off. If you were talking abt the multiplication it makes 52.3
