Part B Based on your construction, what do you know about ΔABD and ΔBCD?
1 answer:
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Answer:
see the attachments for the two solutions
Step-by-step explanation:
When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.
When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.
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Here, the law of sines can be used to solve the triangle:
A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°
B = 180° -70° -A = 31.81° or 8.19°
b = 24·sin(B)/sin(70°) = 13.46 or 3.64
Answer:
Step-by-step explanation:
You may have entered the measure of a side as the measure of an angle.
You are correct. Good job!
Answer:
Step-by-step explanation:
First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.
So now we have the equation , and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation
Rearrange the equation so it equals b
Put it together and that's the final equation!