Directions: Determine if the given lengths in each problem can form a triangle.
1. 7in. , 3in. , 10in.
i think you have to use the pythagorian theorem--i think it's false
7 + 3 only reaches the two ends of 10 in a straight line.
the sum of the two sides must be grater than the third side
If your triangle has two acute angles and one obtuse angle, those measurements will work.
The sum of two lengths must be greater than the third.
To determine if three given lengths can form a triangle, we need to apply the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we have three lengths: 7 inches, 3 inches, and 10 inches.
First, let's check if the sum of the two smaller lengths (3 inches and 7 inches) is greater than the longest length (10 inches).
3 + 7 = 10
Since the sum of the two smaller sides is equal to the longest side, it means that the triangle would just be a straight line. In other words, the three given lengths cannot form a triangle.
So, the lengths 7 inches, 3 inches, and 10 inches cannot form a triangle.