I have to angles and a side how do I do this Angle 1: 90 degrees Angle 2: 63 degrees Side 1: 5 mm
I know angles need to add up to 180 so 90 +63=153 180-153=27 so the angle is 27
How do I figure out the sides? I have 5mm to start I am really not sure I think this is part of what I need to do.
the Law of Sines says that the length of the sides is the same ratio as the sines of the angles opposite the sides
angle 1 is 90º ... sine is 1
sin(angle 2) / 1 = side 2 / 5 mm
do the same with angle 3 /63º
I’m not sure what I do with the numbers to get the sides. I think I divided. Please help I have like ten of these problems. If I could understand one maybe I’ll get the others.
you're doing fine
plug in all the numbers you have, and solve for the missing side (the only non-number)
Plug in how? That's what I am so confused?
To calculate the missing side, you can use the Law of Sines. The Law of Sines states that the ratio of the length of a side to the sine of the angle opposite that side is constant for all sides and angles in a triangle.
Here's how you can use the Law of Sines to find the missing side:
1. Identify the angle and side that you know. In this case, you know Angle 1 (90 degrees) and Side 1 (5 mm).
2. Use the Law of Sines formula:
sin(Angle 2) / Side 2 = sin(Angle 1) / Side 1
3. Substitute the values you know into the formula:
sin(63 degrees) / Side 2 = sin(90 degrees) / 5 mm
4. Solve for Side 2. Rearrange the formula to isolate Side 2:
Side 2 = (sin(63 degrees) / sin(90 degrees)) * 5 mm
5. Calculate the value of sin(63 degrees) and sin(90 degrees) using a scientific calculator or trigonometric table.
Once you have calculated the values of sin(63 degrees) and sin(90 degrees), substitute them into the formula to find the value of Side 2. Remember to multiply it by 5 mm:
Side 2 = (value of sin(63 degrees) / value of sin(90 degrees)) * 5 mm
Repeat this process for any other triangles you need to solve using the Law of Sines.