Pre-Algebra : Geometry

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #23 : Triangles

Q_5

Find the perimeter of the triangle above.

Note: Figure not drawn to scale.

Possible Answers:

None of these answers are correct.

Correct answer:

Explanation:

The perimeter of a shape is the length around the shape. In order to find the perimeter of a triangle, add the lengths of the sides: .

Because the lengths are in inches, the answer must be in inches as well.

Example Question #5 : Perimeter Of A Triangle

One side of an equilateral triangle is . What is the triangle's perimeter?

Possible Answers:

Not enough information given to solve.

Correct answer:

Explanation:

Equilateral triangles have  sides of equal length. Therefore, by knowing the length of one side, we can calculate the perimeter by multiplying that length by

Example Question #6 : Perimeter Of A Triangle

In equilateral triangle .

What is the perimeter of triangle ?

Possible Answers:

Correct answer:

Explanation:

Because the triangle is equilateral, all sidelengths are equal. Thus, if one is 8 they all must be 8, so 

Example Question #4 : Perimeter Of A Triangle

For an isosceles triangle, if two of the sides are 3 and 6, which of the following is a possible perimeter?

Possible Answers:

Correct answer:

Explanation:

In an isosceles triangle, two of the three sides are equal to each other.  The possible side lengths of the isosceles are  or .

The perimeter is the sum of the three sides.

The only possible perimeters given the two side lengths are either  or .

The correct answer is:  

Example Question #332 : Geometry

What is the perimeter of an equilateral triangle with a length of 5?

Possible Answers:

Correct answer:

Explanation:

There are three equal sides in an equilateral triangle.  

Substitute the side length.

Example Question #11 : Perimeter Of A Triangle

What is the perimeter of an equilateral triangle with a side of ?

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the perimeter of an equilateral triangle.  All three sides are equal.

Substitute the side length.

Example Question #332 : Geometry

If the area of an equilateral triangle is 10, and the height is 10, what must be the perimeter of the triangle?

Possible Answers:

Correct answer:

Explanation:

Write area formula for a triangle.

Substitute the area and the height to find the length of the base.

The base, or the length one side of the triangle, is two.

An equilateral triangle has three equal sides.  Multiply the base by three to find the perimeter.

The answer is:  

Example Question #12 : Perimeter Of A Triangle

What is the perimeter of an isosceles triangle with a base length of ?

Possible Answers:

Correct answer:

Explanation:

For an isosceles triangle, two of the side legs are equal. It is necessary to know two of the three sides in order to sum the lengths. The problem only gave us the length of the base. 

There is not enough information to solve this question since the length of the other leg is unknown.

Example Question #13 : Perimeter Of A Triangle

Find the perimeter of an isosceles triangle with a base of 4 inches and side length of 10 inches.

Possible Answers:

Correct answer:

Explanation:

An isosceles triangle has two sides that have the same length. If the base is 4 and one of the sides is 10, then the other side is also 10.

Example Question #14 : Perimeter Of A Triangle

An equilateral triangle measures  inches along its side.  What is the area of the triangle? 

Possible Answers:

 square inches

 square inches

 square inches

 square inches

 square inches

Correct answer:

 square inches

Explanation:

To find the perimeter of any object, simply add the length of each side together.  The best answer is:

 square inches

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