Respuesta :
SSS similarity theorem states: If the corresponding sides of two triangles are proportional, then the two triangles are similar.
You have two isosceles triangle, then if
[tex]\dfrac{44}{20}=\dfrac{x}{35},\\ \\x=\dfrac{44\cdot 35}{20}=11\cdot 7=77,[/tex]
two isosceles triangles will be similar by SSS theorem.
Answer: correct choice is C.
The value of x that will make the triangles similar by SSS similarity theorem is;
x = 77.
We are told that the 2 triangles are similar by SSS theorem.
Now, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem
Thus, in our 2 given triangles ,applying the SSS postulate gives;
x/35 = 44/20
Applying the multiplication property of equality, let us multiply both sides by 35 to get;
x = (44 * 35)/20
x = 77
Thus, in conclusion the value of x that will make the triangles similar by SSS similarity theorem is 77.
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