Question

a) Three sides of a triangle are 5, 6, and 8. Calculate the angles of the
triangle.
(b) Two sides of a triangle are 6 and 9. The angle between them is 30◦
.
Calculate the length of the third side and find the missing angles.
(c) One side of a triangle is 9. The angles at the endpoints of this side
are 30◦ and 45◦
. Calculate the length of the other two sides.
(d) Two sides of a triangle are 8 and 10. The angle opposite to the longer
side is 60◦
. Calculate the length of the third side and find the missing angles
(College Geometry) One question takes like 15 min and im really stressing rn if u can help may the universe return you the favor

Answer 1

a. do you can draw this triangle ?

Answer 2

Hmm?

Answer 3

so what you need to use there to calcule the angle measures of this triangle the law of sin ,or the law of cos or the law of tan

have you learn about these ?

Answer 4

any idea now ?

Answer 5

using the law of sin you can write

\[\frac{ \sin a }{ 6 } = \frac{ \sin b }{ 8 } = \frac{ \sin c }{ 5 }\]

Answer 6

im following ur steps ty

Answer 7

ok the next can you solve ?

Answer 8

Ill try

Answer 9

do you know the value of sin 30° ? this will help you a lot

Answer 10

I see

Answer 11

note the length of BC an ,,a"

and write using the law of sin

do you can use what i ve wrote above on the first problem ?

Answer 12

\[\frac{ \sin 30 }{ a } = \frac{ \sin B }{ 9 } = \frac{ \sin c }{ 6 }\]

Answer 13

Ok thanks man i appreciate ur help

Answer 14

yw

my pleasure anytime

Answer 15

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
\[\frac{ \sin 30 }{ a } = \frac{ \sin B }{ 9 } = \frac{ \sin C }{ 6 }\]
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 16

c.



so using this image you can write easy the length of these two sides

Answer 17

d.



hope this image will help you solve it easy

Answer 18

yes i finished it thx to u bro much appreciated