A community for students.
Here's the question you clicked on:
 0 viewing
lilsis76
 2 years ago
the lengths of the tree sides of a triangle are denoted a,b, and c; the angles opposiete these sides are A,B,C. use the given information to find the required quantities.
a) B= 90 deg.; cotA=4/3; b=5 sqrt2; FIND a.
b) b=10 cm, c=10cm, A = 60 deg. FIND area of ABC TRIANGLE.
I can start if off but i dont know what to do next?
lilsis76
 2 years ago
the lengths of the tree sides of a triangle are denoted a,b, and c; the angles opposiete these sides are A,B,C. use the given information to find the required quantities. a) B= 90 deg.; cotA=4/3; b=5 sqrt2; FIND a. b) b=10 cm, c=10cm, A = 60 deg. FIND area of ABC TRIANGLE. I can start if off but i dont know what to do next?

This Question is Closed

Fall1213
 2 years ago
Best ResponseYou've already chosen the best response.1Do you have a figure for this? If not, we can draw one.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0well the picture i drew is all i have :/

Fall1213
 2 years ago
Best ResponseYou've already chosen the best response.1the lengths of the tree sides of a triangle are denoted a,b, and c; the angles opposiete these sides are A,B,C. use the given information to find the required quantities. a) B= 90 deg.; cotA=4/3; b=5 sqrt2; FIND a. Take the figure; note that the sides are a, b, and c. The angles opposite to these are A, B, and C. This means (look at the figure). dw:1355085890124:dw

Fall1213
 2 years ago
Best ResponseYou've already chosen the best response.1I think according to the trigonometric formula, a = 3 But the Pythagoras theorem isn't satisfied for this one.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0okay then, so basically the cot is 1/ tan, or the tangent just opposite so instead of oppoiste over adj. its adj/ opposite? and that is how we got the a, right?

Fall1213
 2 years ago
Best ResponseYou've already chosen the best response.1b) b=10 cm, c=10cm, A = 60 deg. FIND area of ABC TRIANGLE.dw:1355086191800:dw

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0so then, something like. okay so 18060 is 120, since b and c are equal u can divide by 2, so that means they are all 60 degrees right?

Fall1213
 2 years ago
Best ResponseYou've already chosen the best response.1So the angles of triangle ABC would be 60 + x + x = 180 60 + 2x = 180 2x = 180  60 2x = 120 x = 120/2 = 60 So, angle B = angle C = 60 degrees. Triangle ABC is an equilateral triangle, so the area of an equilateral triangle is given by \[Area = \frac{ s ^{2}*\sqrt{3} }{ 4 } = \frac{ (10)^{2}*\sqrt{3} }{ 4 } = \frac{ 100\sqrt{3} }{ 4 }\]

Fall1213
 2 years ago
Best ResponseYou've already chosen the best response.1If you want, take the decimal value for square root of 3 is 1.73. The final answer will then be something around 43.25 square units.

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0wait, how did we get the 5 squared?

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0@Fall1213 where did the

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0@Fall1213 where did the \[5^{2}\] come from?

Fall1213
 2 years ago
Best ResponseYou've already chosen the best response.1You mean the 'square units'?

lilsis76
 2 years ago
Best ResponseYou've already chosen the best response.0oh haha i see it its an s for the sides okay
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.