SSAT Middle Level Quantitative › Lines
A right triangle has one leg with a length of 6 feet and a hypotenuse of 10 feet. What is the length of the other leg?
In geometry, a right angle triangle can occur with the ratio of in which 3 and 4 are each leg lengths, and 5 is the hypotenuse.
When you know the length of two sides of a right angle triangle like this, you can calculate the third side using this ratio.
Here, the ratio is:
This is double the ratio. Therefore, we should multiply 4 by 2 in order to solve for the missing leg, which would be a value of 8 feet.
Another way to solve is to use the Pythagorean Theorem: .
We know that one leg is 6 feet and the hypotenuse is 10 feet.
What is the length of a line segment with end points and
?
The length of a line segment can be determined using the distance formula:
What is the length of a line segment with end points and
?
The length of a line segment can be determined using the distance formula:
A right triangle has one leg with a length of 6 feet and a hypotenuse of 10 feet. What is the length of the other leg?
In geometry, a right angle triangle can occur with the ratio of in which 3 and 4 are each leg lengths, and 5 is the hypotenuse.
When you know the length of two sides of a right angle triangle like this, you can calculate the third side using this ratio.
Here, the ratio is:
This is double the ratio. Therefore, we should multiply 4 by 2 in order to solve for the missing leg, which would be a value of 8 feet.
Another way to solve is to use the Pythagorean Theorem: .
We know that one leg is 6 feet and the hypotenuse is 10 feet.
What is the length of a line with endpoints and
.
To find the length of this line, you can subtract to get
. Since the y-coordinates are the same, you don't have to take any vertical direction into account. Therefore, you only look at the x-coordinates!
What is the length of a line with endpoints and
.
To find the length of this line, you can subtract to get
. Since the y-coordinates are the same, you don't have to take any vertical direction into account. Therefore, you only look at the x-coordinates!
The point lies on a circle. What is the length of the radius of the circle if the center is located at
?
The radius is the distance from the center of the circle to anypoint on the circle. So we can use the distance formula in order to find the radius of the circle:
The point lies on a circle. What is the length of the radius of the circle if the center is located at
?
The radius is the distance from the center of the circle to anypoint on the circle. So we can use the distance formula in order to find the radius of the circle:
The radius of a circle is 6 inches. What is one-third of the diameter?
If the radius is equal to 6 inches, then the diameter will be double that value, or 12 inches. One-third of 12 is 4, which is therefore the correct answer.
The radius of a circle is 6 inches. What is one-third of the diameter?
If the radius is equal to 6 inches, then the diameter will be double that value, or 12 inches. One-third of 12 is 4, which is therefore the correct answer.