Question

HELP MEEEEEE

|| Part A
Which sets of measurements could be the interior angle measures of a a triangle?
(a)
Select each correct answer
A 10°, 10°, 160°
B15°,75°, 90°
20°, 80°, 100°
D 35°, 35°, 105°
E 60°, 60°, 60°
Part B
Which sets of measurements could be the side lengths of a triangle?
Select each correct answer.
A3 cm, 3 cm, 3 cm
84 cm, 8 cm, 13 cm
c5 cm, 9 cm, 14 cm
D 6 cm. 7 cm. 8 cm.
(b)

Answer 1

Part a) a b and e

Part b) a and d

Explanation:

Part A)

The sum of the angles is a triangle is always 180 degrees.

So that means that of the answer choices, the ones with angle measures that add up to 180 degrees form a triangle. 0

a) 10 + 10 + 160 = 180

b) 15 + 75 + 90 = 180

c) 20 + 80 + 100 = 200

d) 35 + 35 + 105 = 175

e) 60 + 60 + 60 = 180

a , b and e all have angle measures that would add up to 180 degrees therefore a b and e would form triangles

Part B)

In order for side lengths to form a triangle, the sum of the two shorter sides must be greater than the longest side.

a) all side lengths are 3 which would form an equilateral triangle ( triangle with all equal sides ). For more clarification we could say 3 + 3 = 6 > 3 ( sum of sides are greater than other side length )

b) 8 + 13 = 21 > 83

c) 5 + 9 = 14 > 14

d) 6 + 7 = 13 > 8

The only true outcomes are a and d so a and d would form triangles