document.write( "Question 486577: I have a triangle with sides of 3, 4, and 5, and angles of 30° and 60°. Which of the following would be congruent to it? (You will need to use what you've learned about triangles and angle / side relations, as well as your knowledge of the rules of congruence to fill in the gaps and answer the question. Sketches may be helpful.)
\n" ); document.write( "A a triangle with angles of 30°, 60°, and 90°
\n" ); document.write( "B an angle of 90°
\n" ); document.write( "C a triangle with sides of 6, 8, and 10
\n" ); document.write( "D a triangle with sides of 3 and 4
\n" ); document.write( "E a triangle with a side measuring 4, next an angle of 90°, and next a side measuring 3
\n" ); document.write( "F a triangle with a side measuring 3, next an angle of 60°, and next a side measuring 4 \n" ); document.write( "

Algebra.Com's Answer #332598 by cleomenius(959) $\"\"$ $\"About$

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The third angle will be 90 degrees, as the three will add to 180 degrees.
\n" ); document.write( "A This will not necessarily be a congruent triangle. The angles are congruent, so the triangles are similar.
\n" ); document.write( "B. An angle of 90 degrees is congruent to the corresponding 90 degree angle.
\n" ); document.write( "C. The sides would be similar but not congruent.
\n" ); document.write( "D. Those parts would be congruent, but not necessarily the triangles.
\n" ); document.write( "E. Yes, and by the SAS theorem, the two triangles will be congruent.
\n" ); document.write( "F. No, for the SAS theorem you need the two sides and the included angle, the 60 degree angle will not be the included angle.
\n" ); document.write( "Cleomenius.
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