GED Math : Perimeter and Sides of Triangles
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Example Question #21 : Triangles
Find the perimeter of a equilateral triangle with a base of 13cm.
To find the perimeter of an equilateral triangle, we will use the following formula:
where a is any side of the equilateral triangle. Because an equilateral triangle has 3 equal sides, we are able to use any side in the formula.
Now, we know the base of the equilateral triangle is 13cm. So, we can substitute. We get
Example Question #200 : Geometry And Graphs
If an equilateral triangle has a side length of 
All three sides of an equilateral triangle are equal.
We will need to multiply the side length by three.
The answer is:
Example Question #21 : Perimeter And Sides Of Triangles
A triangle has sides of length 14, 19, and 23. Which of the following is a true statement?
The triangle is isosceles and obtuse.
The triangle is scalene and obtuse.
The triangle is isosceles and acute.
The triangle is scalene and acute.
The triangle is scalene and acute.
No two of the sides are of equal length, making the triangle scalene.
To determine whether it is acute or obtuse, add the squares of the lesser lengths, and compare the sum to the square of the greatest length:
The sum of the squares of the lesser lengths exceeds the square of the greatest length, so the triangle is acute.
The correct response is that the triangle is scalene and acute.
Example Question #22 : Perimeter And Sides Of Triangles
A triangle has sides of length 14, 19, and 30. Which of the following is a true statement?
The triangle is scalene and acute.
The triangle is isosceles and obtuse.
The triangle is isosceles and acute.
The triangle is scalene and obtuse.
The triangle is scalene and obtuse.
No two of the sides are of equal length, making the triangle scalene.
To determine whether it is acute or obtuse, add the squares of the lesser lengths, and compare the sum to the square of the greatest length:
The square of the greatest length exceeds the sum of the squares of the lesser lengths, so the triangle is obtuse.
The correct response is that the triangle is scalene and obtuse.
Example Question #21 : Perimeter And Sides Of Triangles
If one side of a triangle is 
The perimeter of any figure is the sum of all the lengths of that figure.
An equilateral triangle is a triangle where the length of all three sides is the same length. So, all sides of the triangle have a length of 
So, the perimeter is 
Example Question #204 : Geometry And Graphs
If one side of an isosceles triangle is 8 cm and the base is half the length of the side, what is the perimeter of the triangle?
First we need to know that in an isosceles triangle, 2 sides are equal in size so we know that since one side is 8cm, the other side is also 8cm.
We are also given information that the base is half the length of the size, and half of 8 is 4, so our base is 4cm.
The perimeter of any triangle is found when adding up all sides.
In this case we add up
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