Im a triangle the angle are in the ratio 1:2:3 determine the angles
Answers
Step-by-step explanation:
By inspection of the ratio of angles, that's, 1:2:3, we can conclude, it is a right angle.
(30°,60°,90°).
It is a special right triangle. One set square in the geometry box is made of those angles. It's sides are in the ratio of 1:√3:2. Notice the hypotenuse is double the shortest leg. The longer leg is √3 of the shortest leg. If the measurement of one of it's side is known, the lengths of other sides can be calculated from the ratio. Normally, in the same set square, there is a smaller triangle, a cut out portion. They both are similar triangles; as equiangular triangles AAA. All 1:2:3 triangles are similar triangles.
Algebraically, x+2x+3x = 180°; 6=180°; so, x = 30°.
Answer:
let the angles be 1x 2x and 3x
1x+2x+3x=180° (sum of all the angles of a triangle)
6x=180°
180÷6=x
x=30
the angles are 30° , 60° , 90°
hope it helps