Can you construct a triangle of side lengths of 7 inches, 8 inches, and 15 inches?
nope, not possible
In any triangle, the sum of any of the two sides must be greater than the third side
7+8 is not greater than 15, it is equal to 15
Try by making 15 the base, and then drawing the 7 and 8 inch sides above it.
They will lie flat on the base line, thus no triangle.
The lengths of the two sides of a triangle are given. Descride the lengths possible for the third side. 8ft, 12ft.What is the answer.
try using your brain
To determine if a triangle can be constructed with side lengths of 7 inches, 8 inches, and 15 inches, we need to verify if it satisfies 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.
So, let's check if the given side lengths satisfy this condition:
- The sum of 7 inches and 8 inches is 7 + 8 = 15 inches.
- The sum of 7 inches and 15 inches is 7 + 15 = 22 inches.
- The sum of 8 inches and 15 inches is 8 + 15 = 23 inches.
Based on the Triangle Inequality Theorem, for a triangle to be formed, the sum of the two smaller sides should be greater than the longest side. In this case, 15 inches is the longest side, and the sum of the two smaller sides (7 inches and 8 inches) is 15 inches, which is equal to the longest side.
Therefore, the given side lengths of 7 inches, 8 inches, and 15 inches do not satisfy the Triangle Inequality Theorem, and thus, a triangle cannot be constructed with these side lengths.