Atriangle has two sides that measure 4.56 cm and 8.65 cm. which could be the measure of the third side?

a. 3.95 cm
b. 10.31 cm
c. 13.21 cm
d. 20.25 cm

To test for a triangle, the two smallest sides added together have to be greater than the third side.

3.95 + 4.56 > 8.65
8.51 > 8.65 
this is false

4.56 + 8.65 > 10.31
13.21 > 10.31
could be it

4.56 + 8.65 > 13.21
13.21 > 13.21
no, this would mean they're equal

4.56 + 8.65 > 20.25
13.21 > 20.25
this is also false

B. 10.31 cm

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c