DSQ: Calculating the height of a right triangle - GMAT Quantitative Reasoning
Card 0 of 5
What is the length of the height 
of right triangle 
, where 
is a right angle?
(1) 
(2) 
What is the length of the height
(1)
(2)
Since we are told that triangle ABC is a right triangle, to find the height, we just need the length of at least 2 other sides. From there, we can find the length of the height since in a right triangle, the height divides the triangle into two triangles with the same proportions. In other words 
. Therefore, we need to know the length of the sides of the triangle.
Since we are told that triangle ABC is a right triangle, to find the height, we just need the length of at least 2 other sides. From there, we can find the length of the height since in a right triangle, the height divides the triangle into two triangles with the same proportions. In other words
Compare your answer with the correct one above
is a right triangle where 
is a right angle. What is the length of the height 
?
(1) 
(1) 
(1)
(1)
To know the length of the height triangle, we would need to know the lengths of the triangle or the angles to have more information about the triangle.
Statement 1 only gives us a length of a side. There is nothing more we can calculate from what we know so far.
Statement 2 alone tells us that the triangle is isoceles. Indeed, ABC is a right triangle, if one of its angle is 45 degrees, than so must be another. Now, we are able to tell that the length of the height would be the same as half the hypothenuse. A single side would be sufficient to answer the problem. Statment 1 gives us that information. Therefore, both statements together are sufficient.
To know the length of the height triangle, we would need to know the lengths of the triangle or the angles to have more information about the triangle.
Statement 1 only gives us a length of a side. There is nothing more we can calculate from what we know so far.
Statement 2 alone tells us that the triangle is isoceles. Indeed, ABC is a right triangle, if one of its angle is 45 degrees, than so must be another. Now, we are able to tell that the length of the height would be the same as half the hypothenuse. A single side would be sufficient to answer the problem. Statment 1 gives us that information. Therefore, both statements together are sufficient.
Compare your answer with the correct one above
Consider right 
.
I) The longest side, 
, has a length of 
meters.
II) 
.
What is the height of 
?
Consider right
I) The longest side,
II)
What is the height of
The height of a right triangle will be one of its side lengths.
I) tells us the length of our hypotenuse.
II) gives us the other two angle measurements.
They are both 45 degrees, which makes JKL a 45/45/90 triangle with side length ratios of 
.
Which we can use to find the height.
The height of a right triangle will be one of its side lengths.
I) tells us the length of our hypotenuse.
II) gives us the other two angle measurements.
They are both 45 degrees, which makes JKL a 45/45/90 triangle with side length ratios of
Which we can use to find the height.
Compare your answer with the correct one above
What is the height of the right triangle?
- The area of the right triangle is
.
- The base of the right triangle measures
.
What is the height of the right triangle?
- The area of the right triangle is
- The base of the right triangle measures
Statement 1:
More information is required to answer the question because our base and height can be 
and 
or 
and 
Statement 2: We're given the base so we can narrow down the information from Statement 1 to 
and 
. If the base is 
, then the height must be 
.
Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.
Statement 1:
More information is required to answer the question because our base and height can be
Statement 2: We're given the base so we can narrow down the information from Statement 1 to
Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.
Compare your answer with the correct one above
What is the height of the rigth triangle?
- The area of the right triangle is
.
- The perimeter of the right triangle is
.
What is the height of the rigth triangle?
- The area of the right triangle is
- The perimeter of the right triangle is
Statement 1:
Additional information is required because our base and height can be 
and 
, 
and 
, or 
and 
.
Statement 2:
Even if we solve for our two values, we will not be able to determine which is the base and which is the height.
Statements 1 and 2 are not sufficient, and additional data is needed to answer the question.
Statement 1:
Additional information is required because our base and height can be
Statement 2:
Even if we solve for our two values, we will not be able to determine which is the base and which is the height.
Statements 1 and 2 are not sufficient, and additional data is needed to answer the question.
Compare your answer with the correct one above