SOLUTION: in a triangle one angle is twice the smaller another thrice the smaller find whether the triangle is acute , obtuse ,or right angled triangle

Question 623828: in a triangle one angle is twice the smaller another thrice the smaller find whether the triangle is acute , obtuse ,or right angled triangle
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!

Hi, there--

The Problem:
In a triangle, one angle is twice the smallest, another thrice the smallest. Find whether the triangle 
is an acute , obtuse ,or right triangle.

A Solution:
Let x be the measure of the smallest angle.

The measure of the second angle is twice the smallest, or 2x.
The measure of the third angel is thrice the smallest, or 3x.

The sum of the measures of the interior angles of any triangle is 180 degrees. So,
x + 2x + 3x = 180

Combine like terms on the left side of the equation.
6x = 180

Divide both sides of the equation by 6.
x = 180/6
x = 30

Therefore, the measures of the three angles are 30, 60, and 90 degrees. This is a right triangle 
because one of the angles measures 90 degrees.

Feel free to email me if you have any questions about the solution.

Ms.Figgy
math.in.the.vortex@gmail.com

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