SOLUTION: can an acute triangle have the measurements of x, x-1 and 2x and still be a triangle
Algebra.Com
Question 680296: can an acute triangle have the measurements of x, x-1 and 2x and still be a triangle
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If you are given the measurements of angles, than you have to follow these definitions.
An acute triangle is a triangle where all three internal angles are acute (less than degrees).
In any triangle, two of the interior angles are always acute (less than degrees)*, so there are three possibilities for the third angle:
Less than ° - all three angles are acute and so the triangle is acute.
Exactly° - it is a right triangle
Greater than ° (obtuse): the triangle is an obtuse triangle
if the measurements of angles are:, and , than
so, and
since or greater than °, a triangle cannot be acute, the triangle is an obtuse triangle
RELATED QUESTIONS
The measures of the angles in a triangle are x, 2x, and 3x. The triangle is
acute... (answered by Edwin McCravy)
The measures of the angles in a triangle are x, 2x, and 3x. The triangle is acute,... (answered by josgarithmetic)
the angels of an acute triangle are 2x, x, and x+10 what are the measurement of each... (answered by josmiceli)
how can I determine whether a set of measurements can be the sides of a triangle, if they (answered by stanbon)
We have a rectangle and a right-angled triangle.
All measurements are in centimeters.... (answered by MathLover1)
If the two acute angles of a right triangle have measures (2x-11)degrees and... (answered by josgarithmetic)
An acute angle of a triangle measures (40-2x). Find all the restrictions on... (answered by jim_thompson5910)
An equilateral triangle has measurements of (x+3), (2x-5), and (3x-13) . What is the... (answered by deshpande.shilpa14)
The two acute angles in a right triangle measure (2x + 7)° and (3x - 2)°. Find x and the... (answered by edjones)