5.2 Review Worksheet

5.2.1 Indirect Proof and Inequalities in One Triangle Write an indirect proof of each statement. 1. A scalene triangle cannot have two congruent midsegments.

2. Two supplementary angles cannot both be obtuse angles.

3. Write the angles in order from smallest to largest.

4. Write the sides in order from shortest to longest.

T

K

S

51.4

35.4

66°

J

R

L

62.6

Tell whether a triangle can have sides with the given lengths. Explain. 5. 6, 10, 15 6. 14, 18, 32 7. 11.9, 5.8, 5.8

8. 103, 41.9, 62.5

9. z + 8, 3 z + 5, 4 z − 11, when z = 6

10. m + 11, 8 m , m 2 + 1, when m = 3

The lengths of two sides of a triangle are given. Find the range of possible lengths for the third side. 11. 4 yd, 19 yd 12. 28 km, 23 km 13. 9.2 cm, 3.8 cm

1 8

5 8

5 6

1 2

15. 2

14. 3.07 m, 1.89 m

16. 3

in., 3

in.

ft, 6

ft

296

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