All ISEE Lower Level Math Resources
Example Questions
Example Question #41 : Triangles
Find the area of a triangle with a base of 7in 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 of the triangle is 7in. We also know the height is two times the base. Therefore, the height is 14in.
Knowing this, we can substitute into the formula. We get
Example Question #331 : Geometry
Find the area of a triangle with the following measurements:
- height: 5in
- base: 6in
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 6in. We also know the height of the triangle is 5in. So, we get
Example Question #42 : Triangles
Use the following triangle to answer the question:
If the triangle has a height of , find the area.
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, given the triangle
we can see the base is 4ft. We also know it has a height of 9ft.
Knowing this, we can substitute into the formula. We get
Example Question #1271 : Isee Lower Level (Grades 5 6) Mathematics Achievement
The triangle below has a perimeter of . The lengths of two sides are shown below.
What is the length of the third side?
Remember, the perimeter of a triangle is the sum of its three sides. First, sum up the two side lengths that we are given in the question:
To find the third side, subtract the sides we know from the total perimeter:
Example Question #333 : Geometry
An equilateral triangle has a perimeter of . How long is each side?
An equilateral triangle has three congruent sides, i.e. the sides are all the same length.
The perimeter of an equilateral triangle is given by .
Thus, ; then divide each side by three to get .
Example Question #1 : How To Find The Perimeter Of A Triangle
Use the triangle to answer the question.
What is the perimeter of the triangle?
To find the perimeter, add all the sides together.
Example Question #2 : How To Find The Perimeter Of A Triangle
An equilateral triangle has a side length equal to .
What is the perimeter of the triangle?
Example Question #3 : How To Find The Perimeter Of A Triangle
Figure not drawn to scale
The perimeter of isosceles triangle is .
If and are equal to each other and is , what is the length of ?
The perimeter of the triangle is equal to the sum of the lengths of all the sides.
Because the triangle is an isosceles triangle, the triangle has two equal sides, which we know are and .
Since is the same as , we can say: .
We now solve for :
Subtract from both sides
Divide both sides by
Example Question #4 : How To Find The Perimeter Of A Triangle
What is the name of the longest side of a right triangle?
Hypotenuse
Obtuse
Base
Equilateral
Length
Hypotenuse
The hypotenuse is the longest side of a triangle with a right angle.
All the other terms refer to something else. Obtuse refers to an angle over 90 degrees. Length is too general of a term, and refers to the measurement of any given side. Equilateral refers to a triangle in which all angles and side are of equal measurement. Base refers to the side that is perpendicular to the measure of the height, meaning that it will be one of the shorter sides.
Example Question #6 : How To Find The Perimeter Of A Triangle
In an isosceles triangle, two side are 4 feet long. Which of the following is NOT a possible length of the third side?
5 feet
8 feet
1 foot
2.5 feet
7 feet
8 feet
For triangles, it is impossible for a third side to be equal to or greater than the sum of the two other sides.
Given that the sum of the two sides of this triangle is 8, it is impossible for the third side to be equal to 8 feet.
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