In Exercises 17-20, describe the possible lengths of the third side of the triangle given the lengths of the other to sides. So by the triangle larger angle theorem, the sides from shortest to longest are FD, FG, and DG. The angles from smallest to largest are ∠G, ∠D, ∠F. So by the trinagle larger angle theorem, the sides from shortest to largest are XY, YZ, and XZ. The angles of the triangle from smallest to largest are ∠Z, ∠X, ∠Y. In Exercises 13-16, list the sides of the given triangle from shortest to longest. So by the triangle, longer side theorem, the angles from smallest to largest are ∠J, ∠K, ∠L. The sides of △JKL from smallest to largest are KL, JL, JK. In Exercises 11 and 12, list the angles of the given triangle from smallest to largest. The smallest side is AB and the smallest angle is ∠C. Label the point of intersection of two arcs as C. Draw an arc with center A and AC as radius draw an arc and draw another arc taking BC as radius and B as centre. Assuring that three sides have different lengths. To construct a scalene triangle draw a segment and label it AB. Mark the largest angle and longest side in red and the smallest angle and shortest side in blue. In Exercises 9 and 10, use a ruler and protractor to draw the given type of triangle. If ∠X and ∠Y are less than 30, then m∠X + m∠Y is not equal to 62. (B) Both ∠X and ∠Y have measures less than 30°.ī and C.
(A) Both ∠X and ∠Y have measures greater than 20°. In Exercises 7 and 8, determine which two statements contradict each other. The slope of the given line is \(\frac \) is a median. Write an equation of the line passing through point P that is perpendicular to the given line. Relationships Within Triangles Maintaining Mathematical Proficiency
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