Step-by-step explanation:
- All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side;
a+b > c
a+c > b
b+c > a
- If this is true for all three combinations of added side lengths, then you will have a triangle.
A)triangle is possible with these measurements
2+3 >4
2+4> 3
3+4>2
B)triangle is not possible with these measurements
2+3 >6
2+6> 3
3+6>2
C)triangle is possible with these measurements
90+45+45=180 degrees(sum of interior angles of a triangle is 180 degrees)
180=180
D)triangle is not possible with these measurements
90+60+60=180(sum of interior angles of a triangle is 180 degrees)
90+120 =210 degrees
sum of interior angles of the triangle is more than 180 degrees
Therefore it is not a triangle
