All Intermediate Geometry Resources
Example Questions
Example Question #1 :How To Find The Length Of The Side Of A Trapezoid
Suppose the area of the trapezoid is, with a height ofand a base of. What must be the length of the other base?
Write the formula for finding the area of a trapezoid.
Substitute the givens and solve for either base.
Example Question #2 :How To Find The Length Of The Side Of A Trapezoid
If the area of a trapezoid is梯形的高度, and the base length is, what must be the length of the other base?
Write the formula for the area of a trapezoid.
Substitute all the given values and solve for the base.
Example Question #3 :How To Find The Length Of The Side Of A Trapezoid
一个isosceles trapezoid has base measurements ofand. The perimeter of the trapezoid is. Find the length for one of the two remaining sides.
To solve this problem, first note that an isosceles trapezoid has two parallel bases that are nonequivalent in length. Additionally, an isosceles trapezoid must have two nonparallel sides that have equivalent lengths. Since this problem provides the length for both of the bases as well as the total perimeter, the missing sides can be found using the following formula: Perimeter= Base oneBase two(leg), where the length of "leg" is one of the two equivalent nonparallel sides.
Thus, the solution is:
Check the solution by plugging in the answer:
Example Question #4 :How To Find The Length Of The Side Of A Trapezoid
一个isosceles trapezoid has base measurements ofand. Additionally, the isosceles trapezoid has a height of. Find the length for one of the two missing sides.
In order to solve this problem, first note that an isosceles trapezoid has two parallel bases that are nonequivalent in length. Additionally, an isosceles trapezoid must have two nonparallel sides that have equivalent lengths.
This problem provides the lengths for each of the bases as well as the height of the isosceles trapezoid. In order to find the length for one of the two equivalent nonparallel legs of the trapezoid, first use the height of the trapezoid to form right triangles on the interior of the trapezoid that each have a base length of. See image below:
Note: the base length ofcan be found by subtracting the lengths of the two bases, then dividing that difference in half:
Now, apply the formula, wherethe length for one of the two equivalent nonparallel legs of the trapezoid.
Thus, the solution is:
Example Question #1 :How To Find The Length Of The Side Of A Trapezoid
The isosceles trapezoid shown above has base measurements ofand. Additionally, the trapezoid has a height of. Find the length of side.
In this problem the lengths for each of the bases and the height of the isosceles trapezoid is provided in the question prompt. In order to find the length for one of the two equivalent nonparallel legs of the trapezoid (side),第一次使用r梯形组成的高度ight triangles on the interior of the trapezoid that each have a base length of.
The base of the interior triangles is equal tobecause the difference between the two bases is equal to. And, this difference must be divided evenly in half because the isosceles trapezoid is symmetric--due to the two equivalent nonparallel sides and the two nonequivalent parallel bases.
Now, apply the pythagorean theorem:, where.
Thus,
Example Question #6 :How To Find The Length Of The Side Of A Trapezoid
使用上面所示的等腰梯形,找到the length for one of the two nonparallel equivalent sides.
To solve this problem, first note that an isosceles trapezoid has two parallel bases that are nonequivalent in length. Additionally, an isosceles trapezoid must have two nonparallel sides that have equivalent lengths. Since this problem provides the length for both of the bases as well as the total perimeter, the missing sides can be found using the following formula: Perimeter= Base oneBase two(leg), where the length of "leg" is one of the two equivalent nonparallel sides.
Thus, the solution is:
Example Question #7 :How To Find The Length Of The Side Of A Trapezoid
一个isosceles trapezoid has one base measurement ofand the length for one of the nonparallel sides is. The perimeter of the trapezoid is. Find the length for the other base of the trapezoid.
Not enough information is provided in this problem.
To solve this problem, first note that an isosceles trapezoid has two parallel bases that are nonequivalent in length. Additionally, an isosceles trapezoid must have two nonparallel sides that have equivalent lengths.
Therefore, use the given information to apply the formula:
Perimeter= Base oneBase two(leg), where the length of "leg" is one of the two equivalent nonparallel sides.
Thus, the solution is:
Example Question #8 :How To Find The Length Of The Side Of A Trapezoid
一个isosceles trapezoid has base measurements ofand, respectively. Additionally, the isosceles trapezoid has a height that isthe measurement of the larger base. Find the length for one of the two equivalent nonparallel sides.
In order to solve this problem, first note that an isosceles trapezoid has two parallel bases that are nonequivalent in length. Additionally, an isosceles trapezoid must have two nonparallel sides that have equivalent lengths.
This problem provides the lengths for each of the bases as well as informataion regarding the height of the isosceles trapezoid. In order to find the length for one of the two equivalent nonparallel legs of the trapezoid, use the height of the trapezoid to form right triangles on the interior of the trapezoid that each have a base length of. The interior triangle base length ofcan be found by subtracting the lengths of the two bases, then dividing that difference in half:
In order to calculate the exact height of the isosceles trapezoid (as well as the interior triangle), findof the larger base. Since the largest base of the trapezoid is梯形的高度:
Now you have enough information to apply the formula, whereone of the missing sides.
The final solution is:
Example Question #9 :How To Find The Length Of The Side Of A Trapezoid
一个isosceles trapezoid has base measurements ofand. The perimeter of the trapezoid is. Find the length for one of the two remaining sides.
To solve this problem, first note that an isosceles trapezoid has two parallel bases that are nonequivalent in length. Additionally, an isosceles trapezoid must have two nonparallel sides that have equivalent lengths. Since this problem provides the length for both of the bases as well as the total perimeter, the missing sides can be found using the following formula: Perimeter= Base oneBase two(leg), where the length of "leg" is one of the two equivalent nonparallel sides.
Thus, the solution is:
Check the solution by plugging in the answer:
Example Question #10 :How To Find The Length Of The Side Of A Trapezoid
一个isosceles trapezoid has one base measurement ofand the length for one of the nonparallel sides is. The perimeter of the trapezoid is. Find the length for the other base of the trapezoid.
To solve this problem, first note that an isosceles trapezoid has two parallel bases that are nonequivalent in length. Additionally, an isosceles trapezoid must have two nonparallel sides that have equivalent lengths.
Therefore, use the given information to apply the formula:
Perimeter= Base oneBase two(leg), where the length of "leg" is one of the two equivalent nonparallel sides.
Thus, the solution is:
Certified Tutor
Certified Tutor