Question

Choose the information given that will form a unique triangle.

a. 100°, 45°, 35°
100°, 45°, 35°

b. 10°, 55°, 85°
10°, 55°, 85°

c. 14 centimeters, 2 centimeters, 5 centimeters
14 centimeters, 2 centimeters, 5 centimeters

d. 90°, 90°, 90°, 90°
90°, 90°, 90°, 90°

e. 20 inches, 18 inches, 10 inches
20 inches, 18 inches, 10 inches

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

a. Sum of all the angles of triangle must be 180 degree.

100° + 45° + 35° = 180°.

Hence, this will form a triangle.

b. The sum of 10°, 55° and 85° is not 180°.

Hence, this will not form a triangle.

c. The sum of two sides must be greater than the third side.

14 + 2 > 5

14 + 5 > 2

2 + 5 < 14

Hence, this will not form a triangle.

d. The sum of 90°, 90°, 90° and 90° is not equal to 180°.

Hence, this will not form a triangle.

e. The sum of two sides must be greater than the third side.

20 + 18 > 10

18 + 10 > 10

20 + 10 > 18.

Hence, this will form a triangle.