SOLUTION: The ratio of the measures of the three angles in a triangle are 1:1:2. Which of the following MUST be true. I. The traingle is equilateral II. The triangle is isosceles. II

Algebra ->  Triangles -> SOLUTION: The ratio of the measures of the three angles in a triangle are 1:1:2. Which of the following MUST be true. I. The traingle is equilateral II. The triangle is isosceles. II      Log On


   



Question 982975: The ratio of the measures of the three angles in a triangle are 1:1:2. Which of the following MUST be true.

I. The traingle is equilateral
II. The triangle is isosceles.
III. The triangle is a right triangle.
a. II only
b. III only
c. I and III only
d. II and III only

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


if the measures of the three angles in a triangle are 1%3A1%3A2, then let's x,x,2x be the angles, so we have x+%2B+x+%2B+2x+=+180=>+4x+=+180=>+x+=+45
so, the angles are 45, 45, and 90, and triangle is an equilateral right triangle

then statements I and III are true and your answer is: c. I and III only