All GMAT Math Resources
Example Questions
Example Question #4 : Calculating The Length Of The Side Of A Right Triangle
Calculate the length of the side of the following right triangle.
(Not drawn to scale.)
We can calculate the length of the side by using the pythagorean theorem:
where our values are
we can then solve for :
Example Question #12 : Triangles
A right triangle has a hypotenuse of 13 and a height of 5. What is the length of the third side of the triangle?
In order to find the length of the third side, we need to use the Pythagorean theorem. The hypotenuse, c, is 13, and the height, a, is 5, so we can simply plug in these values and solve for b, the length of the base of the right triangle:
Example Question #3 : Calculating The Length Of The Side Of A Right Triangle
The hypotenuse of a triangle has length . Which of the following is equal to the length of its shortest leg?
The shortest leg of a triangle is one half the length of its hypotenuse. In this triangle, it is
Example Question #12 : Right Triangles
What is the length of a right triangle hypotenuse if the the other two sides are and units long?
To find a length of a side in a right triangle, we can use the Pythagorean theorem:
Example Question #11 : Triangles
What is the hypotenuse of a right triangle with sides 14 and 48?
For starters, we know that the hypotenuse is the longest side of a triangle, so we can immediately cross off 25 as an answer choice because it is smaller than one of the legs, 48. To find the hypotenuse, we can use the Pythagorean Theorem.
Example Question #14 : Right Triangles
A right triangle has a height of 8 and a base of 15. What is the length of its hypotenuse?
We are given the length of the height and the base, so we can use the Pythagorean theorem to calculate the length of the hypotenuse:
Example Question #262 : Geometry
What is the hypotenuse of a right triangle with legs of length and ?
In order to find the value of the hypotenuse , we need to plug the values of the legs and into the Pythagorean Theorem:
Example Question #16 : Triangles
What is the hypotenuse of a right triangle with an area of and a leg length of ?
In order to find the value of the hypotenuse given area and leg length , we first need to calculate the length of the other leg length . Given the area equation :
Plugging in and :
Now we need to plug the values of the legs and into the Pythagorean Theorem:
Example Question #4 : Calculating The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
What is the hypotenuse of a right triangle with legs of lengths and ?
In order to find the value of the hypotenuse , we need to plug the values of the legs and into the Pythagorean Theorem:
Example Question #7 : Calculating The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem
Each leg of a triangle has length . Give the length of its hypotenuse.
The hypotenuse of a triangle has length times that of a leg, which here is
.