Question

Two sides of a triangle have measures of 15” and 27” respectively. Determine the range for the possible values for the measure of the third side

Answer 1

Step-by-step explanation:

(let third side be called S)

In a triangle Sum of any two sides is always greater than the remaining side.

therefore,

15" + 27" > S

42" > S. ---------(1)

S+15" > 27"

S > 27" - 15"

S > 12". -----------(2)

S+27" > 15"

S > 15" - 27”

S > -12". ------------(3)

therefore from (2) and (3),

S > 12 ( as 12 is greater than -12)

from (1),

S < 42"

therefore, 12" < S < 42".

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