# Thread: lenghts of sides triangle

1. ## lenghts of sides triangle

Hello,
Can you tell me how to find the sides of he triangles in Q1 and Q2 in the attached drawing
they are right angled triangles
in question 2 i found that a=1.9 and b=1.3 using Soh

but i want to know If i can use $\displaystyle a^2 = b^2 + c^2 - 2bc(CosA)$

I want to be able to use other forumlas than a^2 + b^2=c^2

2. I don't think any values can be found for example 2.

The first example has a right angle and you don't want to use more complicated methods than is necessary so the Pythagoras theorem will do or the basic trigonometrical ratios.

3. There is answers! I dont know how to get them someone help!!!!!!!!

4. Originally Posted by wolfhound
Hello,
Can you tell me how to find the sides of he triangles in Q1 and Q2 in the attached drawing
they are right angled triangles
in question 2 i found that a=1.9 and b=1.3 using Soh

but i want to know If i can use $\displaystyle a^2 = b^2 + c^2 - 2bc(CosA)$

I want to be able to use other forumlas than a^2 + b^2=c^2

as stated previously by the Stuck Man ... question 2 does not have enough information.

you need one more side or one more angle. there are an infinite number of right triangles with hypotenuse length 2.3

5. Sorry,
The angle B in question 2 is 34 degrees
Please tell me how to calculate the answers for the two questions,I have an important exam next week, can it be done with the other formula in my original post?I can seem to do them with that?is that formula only for triangles that are not 90*

6. Originally Posted by wolfhound
Sorry,
The angle B in question 2 is 34 degrees
Please tell me how to calculate the answers for the two questions,I have an important exam next week, can it be done with the other formula in my original post?I can seem to do them with that?is that formula only for triangles that are not 90*
Q1. It's an isosceles triangle therefore c = 1.

Q2. You should know this:

$\displaystyle \sin 34^0 = \frac{\text{opposite side}}{\text{hypotenuse}} = \frac{b}{2.3} \Rightarrow ....$

$\displaystyle \cos 34^0 = \frac{\text{adjacent side}}{\text{hypotenuse}} = \frac{a}{2.3} \Rightarrow ....$

7. Originally Posted by mr fantastic
Q1. It's an isosceles triangle therefore c = 1.

Q2. You should know this:

$\displaystyle \sin 34^0 = \frac{\text{opposite side}}{\text{hypotenuse}} = \frac{b}{2.3} \Rightarrow ....$

$\displaystyle \cos 34^0 = \frac{\text{adjacent side}}{\text{hypotenuse}} = \frac{a}{2.3} \Rightarrow ....$
Yes thats how I got the sides on question 2.

But I want to know how to work out the other side is 1(in question 1). In the exam I cant just write 1,I need to prove it

When is this formula used $\displaystyle a^2 = b^2 + c^2 - 2bc(CosA)$
and why cant I find the other side using this?

8. Originally Posted by wolfhound
Yes thats how I got the sides on question 2.

But I want to know how to work out the other side is 1(in question 1). In the exam I cant just write 1,I need to prove it

When is this formula used $\displaystyle a^2 = b^2 + c^2 - 2bc(CosA)$
and why cant I find the other side using this?
Did I not I say
It's an isosceles triangle
which, I would have thought, provides the necessary justification.

Alternatively, use Pythagoras' Theorem. Alternatively, use $\displaystyle \sin 45^0 = \frac{\text{opposite side}}{\text{hypotenuse}}$ (which you should have realised from what I posted about question 2).

Why are you insisting on wanting to use the cosine rule? For a right angle triangle A = 90 degrees and it's just Pythagoras' Theorem. The cosne rule and the sine rule are used when you have a triangle that is NOT a right-triangle. You should know that.

9. Originally Posted by mr fantastic
Did I not I say

which, I would have thought, provides the necessary justification.

Alternatively, use Pythagoras' Theorem. Alternatively, use $\displaystyle \sin 45^0 = \frac{\text{opposite side}}{\text{hypotenuse}}$ (which you should have realised from what I posted about question 2).

Why are you insisting on wanting to use the cosine rule? For a right angle triangle A = 90 degrees and it's just Pythagoras' Theorem. The cosne rule and the sine rule are used when you have a triangle that is NOT a right-triangle. You should know that.
I am curious why I could not get a correct answer using the cosine rule? I thought it would work on right angled triangles also? NO?
I want to get in practice with the different formulas that is all

10. Here are links to tutorials for basic "right angle" trig, with a very DIFFERENT approach than the usuals "soh cah toa" mneumonic. The first shows you how to make a "Trig Tool", which elimininates memorizing a lot of formulas, the next two show you how to USE it.

How to Memorize the Trig Functions (Without Losing Your Mind!) | eHow.com
How to Pass That Trigonometry Exam (Without Losing Your MIND!) Part I - Unknown Sides | eHow.com
How to Pass That Trigonometry Exam (Without Losing Your MIND!) Part II - Unknown Angles | eHow.com