Answer:
By terms of angle based conclusion triangle can be Obtuse angled triangle and by considering the sides as all angles are different It will be Scalene Triangle.
Step-by-step explanation:
Given:
Two angles of 40 degree
To Find :
How many triangles are possible Construct the triangle with given condition and Describe it.
Solution:
For Construction ,
Consider Triangle ABC with
∠A+∠B=40
So for 1st possibility as ∠A=10 then ∠B=30
2nd possibility as ∠A=20 then ∠B=20
3rd Possibility as ∠A=30 then ∠B =10
And angle c will remain the same for all three possibility i.e
Sum of all angles in triangle is 180
so angle c=140 degrees.
Hence there 3 Possibilities by which triangles can be made
So both angle A and B are acute angle since they measure less than 90 degree.
And angle C is Obtuse angle always
So angles in triangles are 2 acute and one Obtuse angle.
So One angle is Obtuse then triangle is Obtuse angled triangle
So triangle ABC is Obtuse angled triangle.
we can say that all three side will be different as all angles are different measures
So Triangle ABC is scalene triangle.
