Triangle Congruence Theorem: Proving Two Triangles with Sides 5, 7, and 39° Are Congruent

Question

Are the triangles in the image congruent?

If so, according to which theorem?

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Step-by-Step Solution

Although the lengths of the sides are equal in both triangles, we observe that in the right triangle the angle is adjacent to the side whose length is 7, while in the triangle on the left side the angle is adjacent to the side whose length is 5.

Since it's not the same angle, the angles between the triangles do not match and therefore the triangles are not congruent.

Answer

No.