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The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.
What is triangle inequality theorem?
Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b)>c
(b+c)>a
(c+a)>b
There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.
Suppose the length of the measurement of the third side of the triangular playground is c meters.
As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,
[tex]24+30 > c\\54 > c[/tex]
For the sides 24 ft and c ft,
[tex]24+c > 30\\c > 30-24\\c > 6[/tex]
Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.
Learn more about the triangle inequality theorem here;
https://brainly.com/question/26037134
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