Math
posted by Lisa .
emily is constructing a triangle one side is 3 inches long and another is 5 inches long which of the following is the smallest measure emily could use for the third side of the triangle
is it 2 inches? 3 inches? 4 inches? or 5 inches?

any side of a triangle is less than the sum of the other two sides. So, if x is the missing side,
5 < x+3
2 < x
so, x must be at least 2.
Similarly, there is a maximum value for x, since we must also have
x < 5+3
x < 8
since, even stretching out the other two sides end to end, they couldn't reach farther than 8.
Respond to this Question
Similar Questions

Math
Kaity draws a scalene triangle. Two sides measure 5 inches and 3 inches? 
algebra
emily is constructing a triangle one side is 3 inches long and another is 5 inches long which of the following is the smallest measure emily could use for the third side of the triangle 
Math
A triangle has one side that is 4 inches long and another side that is 4.5 inches long. The angle that is between them is 80°. 
MATH
LiHua wants to create a triangular fame. She has two pieces of wood, which are 6 inches long and 9 inches long, to use for two sides of the triangle. Which of the following CANNOT be the lenth of the third frame and why? 
Math
The perimeter of a triangle Abc is 28 inches . Side Ab is 6 inches long and side BC is 8 inches long. find the length of side AC. Thank you. 
Math
The hypotenuse (side C) of a triangle is 13 inches long. Which of the following pairs of measurements could be correct for the lengths of the other two sides of the triangle? 
algebra
the second side of a triangle is 6 inches longer than the first side. the third side is 2 inches shorter than the double the first side. the total perimeter of the triangle is 24 inches. find the lengths of all three sides of the triangle 
7th grade math
Can you help with geometry? 1. Sally constructs a triangle with one side 6 inches long and another side 8 inches long. What is the 3rd side? 
Math
A triangle has side lengths of 15 inches and 30 inches. It also has angles that measure 45° and 20°. Which of the following identifies the possible third side length and third angle of the triangle? 
Geometry
Please check my answers 1. A triangle has side lengths of 34 in, 20 in, and 47 in. Is the triangle acute, obtuse or right?