Which of the following statements is true about the triangles below?
a. δabc = δdef by ssa
b. δabc = δdef by aas
c. δabc = δdef by sas
d. δabc = δdef by asa

The correct option is c.

Step-by-step explanation:

From the given diagram we have two triangles.

In triangle ABC and DEF,

                  (Given)

                  (Given)

                  (Given)

According to the SAS property of congruent triangles, two triangles are congruent if two sides and included angle is same.

By SAS property of congruent triangles, we get

Therefore the correct option is c.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2