In △UTV, side UT = 3, UV = 4, and TV = 6. In △XYW, XY = 16. The two triangles are similar such that ∠X = ∠U, ∠Y = ∠V, and ∠W = ∠T.
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SSS Congruence Theorem
By the SSS Congruence Theorem, △ABC ≅ △DEF. Construct a triangle that is congruent to △ABC using the SSS Congruence Theorem. Use a compass and straightedge. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.
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