# Math Help - Triangle and Trignometry Help

1. ## Triangle and Trignometry Help

How do I do:

Show that for all x E (0, pi), the area of a triangle with side lengths a and b and with included angle x is A= 1/2(a)(b)(sin x) (Hint: You need to consider two cases.)

and

2sin^2 x - 5sin x + 3 < 0 in interval [0, 2pi)

Can someone help me a bit please :P
Thanks!

2. Hi mms6

Question 1
Draw a triangle. You have to consider x as acute angle and obtuse angle. Then, use formula :

$\text{Area} = \frac{1}{2}*\text{base}*\text{height}$

(Another hint : state the height in term of trigonometry)

Question 2
Factorize LHS then find the critical point

3. thanks I understand the first question, but I am still unsure of the second question.

4. Hi mms6

Can you fatorise the LHS ? After that set LHS = 0 to find the critical point

5. Um... What iss LHS exactly?

Sorry for asking a kinda sad question I am not very good with math.

6. Hi mms6

LHS = left hand side