A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible lengths (in whole inches) for the third side?

Therefore, the possible lengths (in whole inches) for the third side is

9 inches < x < 45 inches

Step-by-step explanation:

For the above question, we have a rule, the sum of the length of any two sides of the triangle must be greater than the length of the third side.

Hence:

She has two sides of length 18 inches and 27 inches

Let the third side = x

Hence:

a) 18 + 27 > x

45 > x

b) 18 + x > 27

x > 27 - 18

x > 9

Therefore, the possible lengths (in whole inches) for the third side is

9 inches < x < 45 inches

c

step-by-step explanation:

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c