Question

Suppose you wish to apply SSA to a triangle, in order to find an angle
measure. Also suppose the given side lengths of a triangle are equal. Which
of the following statements is true?
O
A. There will be infinitely many solutions for the angle.
O
B. There will be two solutions for the angle.
O
C. There will be zero solutions for the angle.
O
D. There will be one solution for the angle.
SUBMIT

Answer 1

First of all there nothing exists something like SSA congruence criterion, It is SAS Congruence where the sides of a Triangle and the angle between them is exactly same to the other two sides and angle between them of another triangle.

So the correct option is D.

Explanation:

If the Triangle has two sides equal, so the two angles there are equal. Also the other angle be some other definite angle. So

45+x+x=180(Considering definite angle to be 45)
2x=135
x=67.5

So there is only one solution to the triangle.

Answer 2

Answer:

D. There will be one solution for the angle.

Explanation: