The combination of measurements that could form a triangle is 16m, 24m, and 38m.
We have to determine, which combination of measurements could form a triangle?
According to the question,
Triangles are three-sided polygon geometric figure that comprises three edges and three vertices.
The measurement of the three sides and angles of a triangle may or may not be equal in the construction of a triangle.
In the triangle, the sum of the length of any two sides of a triangle is always greater than the third side of a triangle.
In a right-angled triangle, the sum of the square of the length of the hypotenuse side which is opposite to the right angle is equal to the sum of the square of the length of the other two sides of a triangle.
Therefore,
By Pythagoras theorem,
The side opposite to the right angle is always bigger than the other two sides. This bigger side is called Hypotenuse, the side on which the triangle rests is called base or adjacent and the third side is called height or perpendicular.
[tex]\rm Sum \ of \ the \ area \ of \ two \ smaller \sides \ square = Area \ of \ bigger \ side \ square\\ \\ Area \ of\ Square\ A + Area \ of\ Square\ B = Area \ of \ Square \ C\\\\(16+ )^2 +(24)^2 = (38)^2\\\\(40)^2 \ is \ greater \ than \ (38)^2\\[/tex]
Hence, The required combination of measurements that could form a triangle is 16m, 24m, and 38m.
For more details refer to the link given below.
https://brainly.com/question/4411245
