Triangle ABC is such that AB is 4cm, BC is 6cm and angle ACB is 36 degrees.

Favorites|Homepage
Subscriptions | sitemap

HOME > Mathematics > Triangle ABC is such that AB is 4cm, BC is 6cm and angle ACB is 36 degrees.

Triangle ABC is such that AB is 4cm, BC is 6cm and angle ACB is 36 degrees.

[From: ] [author: ] [Date: 11-11-15] [Hit: ]

So sin BAC / 6 = sin 36° / 4.So sin BAC ≈ 0.88167788.So BAC ≈ arcsin(0.88167788) = 61.8° or 180° - 61.......

Show that one possible values of angle ABC is 25.8 degrees

-

Using the law of sines...

sin BAC / BC = sin ACB / AB.
So sin BAC / 6 = sin 36° / 4.
So sin BAC ≈ 0.88167788.
So BAC ≈ arcsin(0.88167788) = 61.8° or 180° - 61.8° = 118.2°. (Both angles are possible.)

If BAC = 118.2°, then ABC = 180° - (118.2° + 36°) = 25.8°.

1

keywords: and,that,such,degrees,BC,is,ACB,Triangle,ABC,AB,cm,angle,36,Triangle ABC is such that AB is 4cm, BC is 6cm and angle ACB is 36 degrees.

New

Hot