All ISEE Middle Level Math Resources
Example Questions
Example Question #12 : How To Find The Area Of A Triangle
Give the area of the above triangle.
The area of a right triangle is half the product of the lengths of its legs, which here are 25 and 60. So
Example Question #52 : Triangles
Find the area of a triangle with a base of 10cm and a height that is half the base.
To find the area of a triangle, we will use the following formula:
Now, we know the base has a length of 10cm. We also know the height is half the base. Therefore, the height is 5cm. Knowing this, we can substitute into the formula. We get
Example Question #52 : Triangles
The roof of a skyscraper forms a right triangle with equal arms of length 50 meters. Find the area of the roof of the skyscraper.
The roof of a skyscraper forms a right triangle with equal arms of length 50 meters. Find the area of the roof of the skyscraper.
To find the area of a triangle, use the following:
Where b and h are the base and height.
In this case, we are told that the base and height are both 50 meters, thus, the perimeter will be:
So our answer is:
Example Question #53 : Triangles
Your neighbor is building a sandbox out of two by fours. The sandbox will be in the shape of a right triangle, with the legs being 12 feet and 16 feet. What will the area of the sandbox be?
Your neighbor is building a sandbox out of two by fours. The sandbox will be in the shape of a right triangle, with the legs being 12 feet and 16 feet. What will the area of the sandbox be?
The are of a triangle is found as follows:
Where b is the length of the base and h is the length of the height.
We are told two lengths of our triangle, and because it is a right triangle, we can use them as base and height. Note that it doesn't really matter which one is which.
Because this is an area question, our units must be squared.
Example Question #51 : Triangles
Find the area of a triangle with a base of length 6 feet and a height that is two times the base.
To find the area of a triangle, we will use the following formula:
where b is the base and h is the height of the triangle.
Now, we know the base has a length of 6 feet. We also know the height is two times the base. Therefore, the height is 12 feet. Knowing this, we can substitute into the formula. We get
Example Question #56 : Triangles
Find the area of a triangle with a base of 7cm and a height of 12cm.
To find the area of a triangle, we will use the following formula:
where b is the base and h is the height of the triangle.
We know the base is 7cm and the height is 12cm. Knowing this, we will substitute into the formula. We get
Example Question #21 : How To Find The Area Of A Triangle
Find the area of a triangle with a base of 6 feet and a height that is twice the base.
To find the area of a triangle, we will use the following formula:
where b is the base and h is the height of the triangle.
Now, we know the base is 6ft. We also know the height is twice (or two times) the base. Therefore, the height is 12ft.
Knowing this, we can substitute into the formula. We get
Example Question #58 : Triangles
Find the area of a triangle with a base of 6cm and a height of 18cm.
To find the area of a triangle, we will use the following formula:
where b is the base and h is the height of the triangle.
Now, we know the base of the triangle is 6cm. We also know the height of the triangle is 18cm.
Knowing this, we can substitute into the formula. We get
Example Question #22 : How To Find The Area Of A Triangle
Use the following image to answer the question:
Find the area of the triangle if it has a height of 11 feet.
To find the area of a triangle, we will use the following formula:
where b is the base and h is the height of the triangle.
Now, let's look at the triangle.
We can see it has a base of 6 feet. We also know it has a height of 11 feet.
Knowing this, we can substitute into the formula. We get
Example Question #60 : Triangles
Find the area of a triangle with a height of 12 feet and a base that is half the height.
To find the area of a triangle, we will use the following formula:
where b is the base and h is the height of the triangle.
Now, we know the height of the triangle is 12 feet. We also know the base is half the height. Therefore, the base is 6 feet.
Knowing this, we can substitute into the formula. We get