Question

I NEED HELP???!!!!!~

Answer 1

State whether the given measurements determine zero, one, or two triangles.

B = 84°, b = 28, c = 25

Answer 2

A+C = 96 both must be acute angles
therefore only 1 triangle can be formed

Answer 3

thank you, you been so helpful do you mind if i ask one more question

Answer 4

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

B = 46°, a = 12, b = 11

A = 38.3°, C = 95.7°, c = 8; A = 141.7°, C = 84.3°, c = 8

A = 51.7°, C = 82.3°, c = 8; A = 128.3°, C = 5.7°, c = 8

A = 38.3°, C = 95.7°, c = 15.2; A = 141.7°, C = 84.3°, c = 15.2

A = 51.7°, C = 82.3°, c = 15.2; A = 128.3°, C = 5.7°, c = 1.5

Answer 5

wait sorry , technically you could have obtuse angle like 92 and other angle be 4
but since 25 < 28 .... angle C is less than 84

and using law of cosines ... a = 15.5, so angle A must be less than angle C
therefore both are acute

Answer 6

so there are two triangles

Answer 7

no same argument.....just giving better explanation

you only get 2 triangles if an unknown angle can actually be either an acute or obtuse angle
this comes from Law of sines, where there are always 2 solutions to sin A = b

Answer 8

oh gotcha

Answer 9

law of sines:
\[\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}\]
the reciprocal is also true
\[\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}\]

Answer 10

i am not going to go through all those problems...use the formula and try to work them out on your own

use wolframalph.com to check answers :)