ISEE Lower Level Math : Plane Geometry

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #5 : Triangles

A triangle has a base that is 8 cm. and a height that is 12 cm. What is the area of this triangle?

Possible Answers:

Correct answer:

Explanation:

To find the area of the triangle, we need to plug in what we know (the base and the height) into the formula to find the area of the triangle:

We can know solve for

Example Question #6 : Triangles

Find the height of the triangle.

If the base of a triangle is  and the area is , what is the height of the triangle?

Possible Answers:

Correct answer:

Explanation:

Area of a triangle is

Set up the equation, then solve:

 

so 

Example Question #1235 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A triangle has a base of 7 and a height of 4. What is the area of the triangle?

 

Possible Answers:

None of these

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2. 

Plugging in the appropriate values for this equation gives us:

This reduces to:

This is equal to 14, the correct answer. 

Example Question #2 : Triangles

A triangle has a base of 8 inches and a height of 4 inches. What is the area in square inches?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle can be calculated using this formula:

When inputting the base and height information, the equation looks like this:

Example Question #7 : How To Find The Area Of A Triangle

The area of a triangle is 12 square inches. It has a height of 4 inches. What is the triangle's base, in inches?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is:

Given that the area is 12 and the base is 4, this gives us:

This reduces to:

Example Question #3 : Triangles

If a triangle has a base of 1 foot, and a height of half a foot, what is the area in square inches?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2. 

Since we are looking for the area in inches, we must convert the base and height to inches, from feet.

This gives us a base of 6 inches and a height of 12 inches. Plug these values into the area equation and solve.

Example Question #11 : How To Find The Area Of A Triangle

What is the area of a triangle for which the base is 9 inches and the height is 12 inches?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2. 

Given that the base is 9 inches and the height is 12 inches, plugging these numbers into the equation gives us the following:

Example Question #281 : Plane Geometry

If a triangle has a height of 2 inches and a base that is 3 times as long, what is the area?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2. 

Given that the height is 2 inches, and the base is 3 times that of the height, the base is 6 inches. 

 

 

Example Question #13 : How To Find The Area Of A Triangle

If the area of a triangle is 15 feet and the height is 5 feet, what is the length of the base?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2. 

Each side of the equation should be multiplied by 2. 

Each side should be divided by 5. 

Therefore, the base has a value of 6. 

Example Question #11 : How To Find The Area Of A Triangle

A triangle has a height of 6 inches and a base of 3 inches. What is the area, in square inches?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2. 

Here, the base is 3 inches and the height is 6 inches. When plugging this information into the formula, we get:

This fraction reduces to 9, the correct answer. 

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