ISEE Lower Level Math : Triangles
Study concepts, example questions & explanations for ISEE Lower Level Math
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Example Questions
Example Question #1 : How To Find The Perimeter Of A Triangle
In an equilateral triangle, the perimeter is 42. What is the length of 1 side?
In an equilateral triangle, all 3 sides are equal to one another. Therefore, if the perimeter is 42, the length of 1 side will be equal to 42 divided by 3. This results in 14, which is therefore the correct answer.
Example Question #1 : How To Find The Perimeter Of A Triangle
If the side of an equilateral triangle is equal to 
The three sides must sum to 18:
Combine like terms on the left:
Divide both sides by 9:
Example Question #341 : Geometry
If an equilateral triangle has sidelengths of 3 inches, what is the perimeter?
An equilateral triangle is a speical type of triangle that has three congruent sides; in other words, all sides are the same length.
Therefore the perimeter for an equilateral triangle can be written as 
Plug in the sidelength given in the question to find the perimeter:
Example Question #11 : How To Find The Perimeter Of A Triangle
If the sides of a triangle are equal to 5, 6, and 2x, what is the value of x if the perimeter is 23?
The perimeter of a triangle is equal to the sum of its sides. Given that the sides are equal to 5, 6, and 2x, and the perimeter is 23, the appropriate equation to use would be:
(Subtract 11 from each side of the equation.)
(Divide each side of the equation by 2.)
Example Question #341 : Geometry
What is the perimeter of an equilateral triangle for which each side is equal to 4.5?
The perimeter is equal to the sum of the sides of the shape. For an equilateral, all sides are equal. This allows us to simply multiply the given length by 3.
Example Question #332 : Plane Geometry
If two sides of a triangle measure 
In a triangle, the length of a third side cannot equal or exceed the sum of the other two sides. The sum of the other two sides is equal to 
Example Question #333 : Plane Geometry
The sides of a triangle are equal to 
The perimeter of a triangle is equal to the sum of its sides.
If the sides of a triangle are equal to 
Therefore, 
Example Question #334 : Plane Geometry
If the perimeter of a triangle is equal to 
If the perimeter of a triangle is equal to 
Divide each side of the equation by 
Given that the longest side of the triangle is equal to 
Example Question #335 : Plane Geometry
In an equilateral triangle, the value of one side is equal to 
The perimeter of an equilateral triangle will be 3 multiplied by one side.
Therefore, the following equation would apply:
Applying the distributive property, the following equation results:
Next, we subtract 12 from each side.
Divide both sides by 3.
Example Question #351 : Geometry
If you have a right triangle with a height of 6 inches, a base of 8 inches, and a hypotenuse of 10 inches, what is its perimeter?
If you have a right triangle with a height of 6 inches, a base of 8 inches, and a hypotenuse of 10 inches, what is its perimeter?
Recall that to find perimeter, we simply need to add up the lengths of all the sides.
So our answer must be 24 inches
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