5.2.1 Indirect Proof and Inequalities in One Triangle − Worksheet
Example 1: Write an indirect proof of each statement. 1. A scalene triangle cannot have two congruent angles.
2. An isosceles triangle cannot have a base angle that is a right angle.
Example 2: 3. Write the angles in order from smallest to largest. Q
4. Write the sides in order from shortest to longest.
Y
46°
45
X
39°
40.5
R
P
57
Z
Example 3: Tell whether a triangle can have sides with the given lengths. Explain. 5. 4, 7, 10 6. 2, 9, 12 7. 3 , 3 , 6
1 2
1 2
8. 3, 1.1, 1.7
9. 3 x , 2 x − 1, x 2 , when x = 5
10. 7 c + 6, 10 c − 7, 3 c 2 , when c = 2
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