How to find the perimeter of a triangle - ISEE Middle Level Quantitative Reasoning

The perimeter of any figure is the sum of the lengths of the sides: .

An equilateral triangle has three sides of equal measure, so divide its perimeter by :

By the Pythagorean Theorem, if and are the legs of a right triangle and is its hypotenuse, then

.

Set and solve for :

The perimeter of the triangle - the sum of the sidelengths - is

.

The perimeter is equal to the sum of the length of the sides. An equilateral triangle has three sides with equal lengths.

The length of the hypotenuse of the triangle can be found using the Pythagorean Theorem. Substitute :

feet

Its perimeter is feet. Multiply by 12 to get the perimeter in inches:

inches

Perimeter involves adding up all of the sides of the shapes; in this case, it's a triangle. Perimeter equals . Therefore, the answer is .

To solve, you must first use the Pythagorean Theorem to solve for the hypotenuse and then add that value to the two perimeter values given.

Thus,

An equilateral triangle has three equal length sides.

The perimeter of a triangle is all the sides added together.

Since all the sides are the same length the equation

is equal to

.

To find the side length, you just need to divide the perimeter by which is

.

To find the perimeter of a triangle, we use the following formula:

where a, b, and c are the sides of the triangle.

Now, we know the triangle is equilateral. This means that each side of the triangle is the same length. We know one side is 11 inches. Therefore, all sides are 11 inches. Knowing this, we can substitute. We get

Find the perimeter of an equilateral triangle whose side measures 14 meters.

The perimeter of a shape is simply the distance around it.

An equilateral triangle has three equal sides.

To find the perimeter in this case, simply multiply one side by 3.

So our answer is 42 meters.

To find the perimeter of a triangle, we will use the following formula:

where a, b, and c are the lengths of the sides of the triangle.

We know we have an equilateral triangle. This means that all of the sides of the triangle are equal or the same length. We know the base has a length of 9cm. Therefore, all sides are 9cm. Knowing this, we can substitute into the formula. We get

At your local university there is a green area where students like to hang out. It is in the shape of a triangle and is bordered by walking paths. If the paths are 300ft, 400ft, and 500ft long, what is the perimeter of the triangle formed by the paths?

This problem describes a triangle and asks us to find its perimeter. To do so, we simply need to add up all of the sides.

So the distance around the triangle is simply 1200ft

The roof of a skyscraper forms a right triangle with equal arms of length 50 meters. Find the perimeter of the roof of the skyscraper.

To find the perimeter of a triangle, we need to know the lengths of all three sides.

We know two, and we know that it is a right triangle. If you are really savvy, you can see that this must be a 45/45/90 triangle, and therefore, the remaining side must be .

You can also find this via Pythagorean Theorem:

Next, add it all up to get:

Note that we rounded slightly, but our answer choices take this into account.

To find the perimeter of a triangle, we will use the following formula:

where a, b, and c are the lengths of the sides of the triangle.

Now, given the triangle

we can see the sides are 11cm, 12cm, and 6cm. Knowing this, we can substitute into the formula. We get

To find the perimeter of a triangle, we will use the following formula:

where a, b, and c are the lengths of the sides of the triangle.

Now, we know the base of the triangle is 3 feet. Because it is an equilateral triangle, we know that all sides are equal. Therefore, all sides are 3 feet. Knowing this, we can substitute into the formula. We get

An equilateral triangle is formed by the base of a desk. If one side of the base of the desk is 3 feet, what is the perimeter of the desk?

To find the perimeter of a shape, add up the lengths of its sides. In this case, we need to recall what equilateral means.

An equilateral triangle has three equal sides, therefore, this triangle will have 3 sides that are each 3 feet. So, we can find our answer as follows:

So our answer is 9ft

To find the perimeter of a triangle, we will use the following formula:

where a, b, and c are the lengths of the sides of the triangle.

So, we know the base of the triangle has a length of 7 inches. Because it is an equilateral triangle, we know that all sides are equal. Which means all sides are 7 inches. Knowing this, we can substitute into the formula. We get

To find the perimeter of a triangle, we will use the formula:

where a, b, and c are the lengths of the sides of the triangle.

Now, we know the base of the triangle is 6.5cm. Because it is an equilateral triangle, we know that all sides are equal. Therefore, all sides are 6.5cm. Knowing this, we can substitute into the formula. We get

To find the perimeter of a triangle, we will use the following formula:

where a, b, and c are the lengths of the sides of the triangle.

Now, we know that the base of the triangle is 11cm. Because it is an equilateral triangle, we know that all sides are equal. Therefore, all sides are 11cm.

Knowing this, we can substitute into the formula. We get

To find the perimeter of a triangle, we will use the following formula:

where a, b, and c are the lengths of the sides of the triangle.

Now, we know the base of the triangle is 9cm. Because it is an equilateral triangle, all sides are equal. Therefore, all sides are 9cm.

Knowing this, we can substitute into the formula.