Figure 3-28. Triangles with a side and adjacent angles equal
c. Theorem 3. Two triangles are congruent if the three sides of one triangle are equal,
respectively, to the three sides of the other triangle, as shown in Figure 3-29.
Figure 3-29. Triangles with three sides equal
d. Theorem 4. Two right triangles are congruent if the hypotenuse and a leg of one triangle are
equal to the hypotenuse and a leg of the other triangle, as shown in Figure 3-30.
Figure 3-30. Right triangles with two ides equal
3-14. Theorem for the Sides of a Right Triangle.
The square of
the hypotenuse of a
right triangle is
equal to the sum of the squares of the other two sides. This relationship is known as the Pythagorean
theorem.
EN0591
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