is it possible to draw a triangle whose sides measure 5 inches, 9 inches, and 14 inches?
Can these measurements make a Triangle? 9 inches, 4 inches , 5 inches
No,
the triangle would collapse into a straight line.
notice that 5+9=14
So if you start with a base of 14, the other two lines will fall on that base
Impossible, the sum of the 2 shorter sides must not equal the longest side.
Can these measurements make a Triangle? 25 cm, 15 cm , 20 cm
idk
To determine whether it is possible to draw a triangle with sides measuring 5 inches, 9 inches, and 14 inches, we can use the triangle inequality theorem.
According to the triangle inequality theorem, for any triangle with sides measuring a, b, and c:
a + b > c
b + c > a
a + c > b
Let's check if this theorem holds true for the sides measuring 5 inches, 9 inches, and 14 inches:
5 + 9 = 14, which is NOT greater than 14 inches.
5 + 14 = 19, which is greater than 9 inches.
9 + 14 = 23, which is greater than 5 inches.
Given these results, we see that the sum of any two sides of the triangle is always greater than the third side. Therefore, it is NOT possible to draw a triangle with sides measuring 5 inches, 9 inches, and 14 inches.