calculate the largest angle of a triangle in which one angle is eight times each of the others.

nedd help...(Crying)

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- Apr 27th 2009, 09:16 PMhi00000angle of the triangle
calculate the largest angle of a triangle in which one angle is eight times each of the others.

nedd help...(Crying) - Apr 27th 2009, 09:23 PMSengNee
Let these angles are $\displaystyle a,b,c$.

$\displaystyle a+b+c=180^o$

$\displaystyle a=8b$

$\displaystyle b=8c$

Therefore,

$\displaystyle a=64c$

The largest angle is $\displaystyle a$.

Erm....I'm not sure....Please tell me either I'm right or not....

(Thinking)(Thinking)(Thinking) - Apr 27th 2009, 09:29 PMhi00000
the question is frm my maths book ..it says the answer is 144 ...

- Apr 27th 2009, 09:31 PMhi00000
...

- Apr 27th 2009, 10:11 PMSengNee
- Apr 27th 2009, 11:26 PMGrandadAngles in a triangle
Hello hi00000If the smaller angles are both $\displaystyle x^o$, then the largest angle is $\displaystyle 8x^o$. So:

$\displaystyle x +x+8x =180$

$\displaystyle \Rightarrow 10x = 180$

$\displaystyle \Rightarrow x = 18$

So the largest angle is $\displaystyle 8\times 18 = 144^o$.

Grandad

- Apr 28th 2009, 01:11 PMrazemsoft21
- Apr 28th 2009, 06:14 PMSengNee
- Apr 28th 2009, 10:31 PMrazemsoft21sorry SengNee