All GRE Math Resources
Example Questions
Example Question #1 :急性/迟钝的我sosceles Triangles
What is the perimeter of an isosceles triangle given that the sides 5 units long and half of the base measures to 4 units?
The base of the triangle is 4 + 4 = 8 so the total perimeter is 5 + 5 + 8 = 18.
Example Question #1 :急性/迟钝的我sosceles Triangles
An acute Isosceles triangle has two sides with lengthand one side length. The length of sideft. If the length ofhalf the length of side, what is the perimeter of the triangle?
foot
foot
inches
foot
inches
inches
This Isosceles triangle has two sides with a length offoot and one side length that is half of the length of the two equivalent sides.
To find the missing side, double the value of side's denominator:
. Thus, half of.
Therefore, this triangle has two sides with lengths ofand one side length of.
To find the perimeter, apply the formula:
footinches
Example Question #3 :Triangles
An acute Isosceles triangle has two sides with lengthand one side length. The length of side. If the length ofhalf the length of side, what is the perimeter of the triangle?
To solve this problem apply the formula:.
However, first calculate the length of the missing side by:.
Thus, the solution is:
Example Question #1 :Triangles
Find the perimeter of the acute Isosceles triangle shown above.
To solve this problem apply the formula:.
However, first calculate the length of the missing side by:
Example Question #5 :Triangles
An obtuse Isosceles triangle has two sides with lengthand one side length. The length of sideft. If the length ofhalf the length of side, what is the perimeter of the triangle?
ft
ft
ft
ft
ft
By definition, an Isosceles triangle must have two equivalent side lengths. Since we are told thatft and that the sides with lengthare half the length of side, find the length ofby:and half of. Thus, both of sides with lengthmust equalft.
Now, apply the formula:.
Then, simplify the fraction/convert to mixed number fraction:
Example Question #1 :Triangles
Find the perimeter of the acute Isosceles triangle shown above.
In order to solve this problem, first find the length of the missing sides. Then apply the formula:
Each of the missing sides equal:
Then apply the perimeter formula:
Example Question #7 :Triangles
An acute Isosceles triangle has two sides with lengthand one side length. The length of sideinches. If the length of, what is the perimeter of the triangle?
inches
inches
inches
inches
inches
In order to solve this problem, first find the length of the missing sides. Then apply the formula:
The missing side equals:
Then plug each side length into the perimeter formula:
Example Question #8 :Triangles
An acute Isosceles triangle has two sides with lengthand one side length. The length of sideinches. If the length of, what is the perimeter of the triangle?
feet
feet
inches
inches
inches
inches
In order to solve this problem, first find the length of the missing sides. Then apply the formula:
The missing side equals:
Then, apply the perimeter formula by plugging in the side values:
Example Question #9 :Triangles
An acute Isosceles triangle has two sides with lengthand one side length. The length of sideft. If the length of, what is the perimeter of the triangle?
foot
inches
foot
inches
foot
inches
To solve this problem apply the formula:.
However, first calculate the length of the missing side by:
, Note that
.
Since, it takesinches to make one foot, the perimeter is equal toinches.
Example Question #10 :Triangles
An acute Isosceles triangle has two sides with lengthand one side length. The length of sideinches. The length of side. Find the perimeter of the triangle.
inches
inches
inches
inches
inches
inches
To find the perimeter of this triangle, apply the formula:
Note: Since this is an acute Isosceles triangle, the length of the base must be smaller than the length of both of the equivalent sides.