Question

!50 POINTS! (3 SIMPLE GEOMETRY QUESTIONS)

QUESTIONS BELOW
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Answer 1

1) c) Rector, pine and taylor

2) b) BC, AB, AC

3) d) 8.5, 17, 10.6

Explanation:

1) The third angle is 180-64-54 = 62

The side opposite to the smallest angle is the shortest and the side opposite to the largest angle is the longest

Sorting the angles form largest to shortst,

64>62>54

⇒ Rector Street > Pine Street > Taylor Street

2) The side opposite to the smallest angle is the shortest and the side opposite to the largest angle is the longest

Sorting the angles form largest to shortst,

∠A, ∠C and ∠B

⇒ BC, AB, AC

3) The sum of two sides is always greater than the third side

For (a):

4.7 + 4.7 < 14

So not possible

For (b):

9 + 11 < 21

So not possible

For (c):

6 + 8 = 14

So not possible

For (d):

8.5 + 17 > 10.6

8.5 + 18.6 > 17

17 + 10.6 > 8.5

This satisfies triangle inequality theorem