I just need number 12 please show work if you can
1 answer:
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answer:
A=46°
a=17.983 (tenths- 18, hundredths- 17.98)
b=17.366 (tenths- 17.4, hundredths- 17.37)
explanation:
1. <u>find angle A</u>
it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.
90°+44°=134°
180°-134°=46°
A=46°
2. <u>find side a</u>
using the law of cosines, we're able to find the length of side a. cosine of an angle equals . we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.
cosine44°=
(multiply both sides by 25)
25cosine44°=a
a=17.983
3. <u>find side b</u>
finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals . we're going to be using the same angle for this.
sine44°=
(multiply both sides by 25)
25sine44°=b
b=17.366
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