# Math Help - Triangle CAT

1. ## Triangle CAT

In isosceles triangle CAT, the measure of the vertex angle is one-half the
measure of one of the base angles. Which statement is true about ΔCAT?
(1) ΔCAT is an equilateral triangle.
(2) ΔCAT is an acute triangle.
(3) ΔCAT is a right triangle.
(4) ΔCAT is an obtuse triangle.

2. Let the base angles are 2x and 2x so the angle at the vertex=x

$2x+2x+x=180^0$

$
5x=180^0$

$x=36^0$

$2x=72^0$

So angles are $72^0,72^0,36^0$

So it is a ...... Acute triangle

3. ## ok.....

Originally Posted by great_math
Let the base angles are 2x and 2x so the angle at the vertex=x

$2x+2x+x=180^0$

$
5x=180^0$

$x=36^0$

$2x=72^0$

So angles are $72^0,72^0,36^0$

So it is a ...... Acute triangle
Great work, brother.