Question

A. Using a protractor, draw a triangle that has two angles of 40°. Label all angle measures on your drawing and include your drawing in your answer.
B. Describe the triangle you have drawn using correct geometric terminology. Be as specific as possible. For example, if the triangle is scalene and contains an obtuse angle, describe it as both scalene and obtuse.


C. In complete sentences, explain how many triangles are possible given these conditions.

Answer 1

Answer:

Step-by-step explanation:

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.

hope this helps =)