Triangles - SSAT Elementary Level Quantitative
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Which shape has only
sides?
Which shape has only sides?
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A triangle has
sides.

A triangle has sides.

Find the perimeter of an equilateral triangle whose side length is 9.
Find the perimeter of an equilateral triangle whose side length is 9.
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To solve, simply use the following formula for the perimeter of an equilateral triangle. Thus,

To solve, simply use the following formula for the perimeter of an equilateral triangle. Thus,
If you have an equilateral triangle and the length of one side is
, what is the perimeter?
If you have an equilateral triangle and the length of one side is , what is the perimeter?
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An equilateral triangle has three equal sides. To find the perimeter of a triangle, you add up all the sides. Your final answer would then be
.
An equilateral triangle has three equal sides. To find the perimeter of a triangle, you add up all the sides. Your final answer would then be .
Find the perimeter of an equilateral triangle with side length 1.
Find the perimeter of an equilateral triangle with side length 1.
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To solve, simply use the formula for the perimeter of an equilateral triangle. Thus,

Remember, the special property of an equilateral triangle is that all of its sides are the same length so, you can either add the side length 3 times or multiply it by 3.
To solve, simply use the formula for the perimeter of an equilateral triangle. Thus,
Remember, the special property of an equilateral triangle is that all of its sides are the same length so, you can either add the side length 3 times or multiply it by 3.
Find the perimeter of the triangle shown below:

Find the perimeter of the triangle shown below:

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The perimeter is the sides added together. 
The perimeter is the sides added together.
Use the following to answer the question.

Find the perimeter of the triangle.
Use the following to answer the question.
Find the perimeter of the triangle.
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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, in the triangle

we can see the lengths of 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.
So, in the triangle
we can see the lengths of the sides are 11cm, 12cm, and 6cm. Knowing this, we can substitute into the formula. We get
You can find the area of a triangle if you know .
You can find the area of a triangle if you know .
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The square shown above has a side length of 3 and is divided into two triangles by its diagonal. What is the area of one of the triangles?

The square shown above has a side length of 3 and is divided into two triangles by its diagonal. What is the area of one of the triangles?
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The area of the square is side times side,
.
Each triangle is half of the square,
.
The area of the square is side times side, .
Each triangle is half of the square, .

What is the area of the triangle?

What is the area of the triangle?
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The formula to find the area of a triangle is
.

The formula to find the area of a triangle is .
An isosceles triangle has a base of 12 cm and a height of 6 cm. What is the area of the triangle?
An isosceles triangle has a base of 12 cm and a height of 6 cm. What is the area of the triangle?
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To find the area of a triangle, you must multiply
by the base (12 cm) by the height (6 cm):

Therefore the area of this triangle is
.
To find the area of a triangle, you must multiply by the base (12 cm) by the height (6 cm):
Therefore the area of this triangle is .

What is the area of the triangle?

What is the area of the triangle?
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The formula to find the area of a triangle is

First, we should multiply
(base)
(height), to get a total of
.
Next, we need to divide
by
, which gives us a total area of
.
The formula to find the area of a triangle is
First, we should multiply (base)
(height), to get a total of
.
Next, we need to divide by
, which gives us a total area of
.
Why is this shape a triangle?

Why is this shape a triangle?

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A triangle has
sides.
A triangle has sides.
Why is this shape NOT a triangle?

Why is this shape NOT a triangle?

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A triangle has
sides, and this shape has
.
A triangle has sides, and this shape has
.
What two shapes can you find in this shape?

What two shapes can you find in this shape?

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Find the area of a triangle with base 4 and height 7.
Find the area of a triangle with base 4 and height 7.
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To solve, simply use the formula for the area of a triangle. Thus,

To remember this formula, simply realize that two triangles added together would leave you with a rectangle, so a triangle's area must be half the area of a rectangle.
To solve, simply use the formula for the area of a triangle. Thus,
To remember this formula, simply realize that two triangles added together would leave you with a rectangle, so a triangle's area must be half the area of a rectangle.
Find the area of the triangle shown below:

Find the area of the triangle shown below:

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The area of a triangle can be expressed by the formula
,
or base times height divided by 2.
.
The area of a triangle can be expressed by the formula
,
or base times height divided by 2.
.
The perimeter of a scalene triangle is 21 mm. Which choice shows the correct side lengths?
The perimeter of a scalene triangle is 21 mm. Which choice shows the correct side lengths?
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When finding the perimeter of any triangle, you will need to add all three sides. In this case, it is important to note that this is the perimeter of a scalene triangle. A scalene triangle has no congruent/equal sides. The only choice that adds up to 21 mm with no equal sides is:

When finding the perimeter of any triangle, you will need to add all three sides. In this case, it is important to note that this is the perimeter of a scalene triangle. A scalene triangle has no congruent/equal sides. The only choice that adds up to 21 mm with no equal sides is:

What is the perimeter of the above triangle?

What is the perimeter of the above triangle?
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To find the perimeter of a triangle, add all of its three sides. 5 + 4 + 3 = 12
To find the perimeter of a triangle, add all of its three sides. 5 + 4 + 3 = 12

If the blue triangle has three equal sides, what is the triangle's perimeter?

If the blue triangle has three equal sides, what is the triangle's perimeter?
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Since the problem asks about an equilateral triangle (one that has three equal sides), we just need to multiply the given side's length by 3.

Since the problem asks about an equilateral triangle (one that has three equal sides), we just need to multiply the given side's length by 3.
You can find the perimeter of a triangle if you know .
You can find the perimeter of a triangle if you know .
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