Wednesday

August 20, 2014

August 20, 2014

Posted by **Angie** on Saturday, April 14, 2012 at 7:48pm.

In a triangle the measure of the medium-sized angle is 3 times the measure of the smallest angle and half the measure of the largest angle. What are the measures of the 3 angles?

- Algebra -
**Reiny**, Saturday, April 14, 2012 at 8:34pmI will do the first, and start you off on the second

method1:

smallest angle -- x

medium-sized angle -- 3x

larges angle --- 6x

x + 3x + 6x = 180

10x = 180

x = 18

3x = 54

6x = 108 , not 108+54+18 = 180

method 2:

medium sized angle = x

small angle = (1/3)x

large angle = 2x

x + (1/3)x + 2x = 180

multiply by 3

3x + x + 6x = 540

10x = 540

x = 54

(1/3)x = 18

2x = 108 , notice we got the same answers

you do the 3rd way.

- Algebra -
**Angie**, Saturday, April 14, 2012 at 8:56pmReiny...yes, thank you. I appreciate the help so much. I did have the some work-up for X=smallest angle. Thanks for starting me out for the next 2 angles.

**Related Questions**

Algebra - The measure of the largest angle of a certain triangle is 6 times the ...

intermediate algebra - A triangle is such that the largest angle is 11 times ...

intermediate algebra - A triangle is such that the largest angle is 11 times the...

Calculus I - Problem: A hot air balloon rising straight up from a level field is...

plz help english - my question is:- Complete the sentence below by interrupting ...

Math - I need help with the following problem: Directions: Express each answer ...

Mat115 - This problem is in chapter 9 page 708, problem 58. It looks like it ...

algebra 1 - Can someone please help me with this inequality problem -3-8>(4x+...

Physics - Im doing a problem on The Russell traction apparatus and I solved the ...

Physics - This is a The Russell traction apparatus problem and I solved the ...