1. In a right triangle, the ratio of acute angles is 2 : 1. Find the angles of the triangle.
2. In a triangle, if an exterior angle is 130° and one of the opposite angles is 60°, find the other angles.
3. Is it possible to draw a triangle, whose sides are:.
(1) 6 cm, 5 cm and 10 cm?
(2) 3 cm , 5 cm and 9 cm?
(3) 3 cm , 7 cm and 12 cm?
(4) 3 cm , 4 cm and 5 cm?
Share
1.In a right angled triangle ; One angle = 90° .
We know that ,Sum of angles in a traingle =180° .
Given that ratio of other two angles =1:2 .
Let the other angles be x,2x.
Now ,According to The Angle Sum Property.
=> x + 2x + 90 = 180
=> 3x =90
=> x =30 .
Therefore ,Now angles are 30° , 60° .
2.From triangle ABC is figure above,
∠ACD=∠ABC+∠BAC
Let, ∠ABC=60°
∠ACD=130 °
∴130 °
=60 °
+∠BAC
∠BAC=130° - 60°
=70°
This is the value of the other opposite angle.