7. The angles in a triangle are represented by (4x - 6)º, (2x + 1)º and
(x + 3)º. Is this a right triangle? |
Solution: If this is a right triangle, one of the angles must be a right angle, 90º).
(4x - 6) + (2x + 1) + (x + 3) = 180
7x - 2 = 180
7x = 182
x = 26
(4x - 6)º = 98º
(2x + 1)º = 53º
(x + 3)º = 29º
No. None of the angles is 90º.
This triangle is obtuse. |
8. The angles in a triangle are in the ratio of 1 : 2 : 3. Find the measure of the angles in the triangle.
Solution:
Represnt the ratio 1 : 2 : 3 as x : 2x : 3x.
x + 2x + 3x = 180
6x = 180
x = 30
The angles are 30º, 60º, and 90º. |