Perimeter of a Triangle

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Pre-Algebra › Perimeter of a Triangle

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1

Q_5

Find the perimeter of the triangle above.

Note: Figure not drawn to scale.

CORRECT

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0

None of these answers are correct.

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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.

2

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

CORRECT

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Explanation

There are three equal sides in an equilateral triangle.

Substitute the side length.

3

A right triangle has two short sides with lengths 5 and 12. What is the perimeter of the triangle?

30

CORRECT

25

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28

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32

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36

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Explanation

To begin, first find the length of the third side of the triangle. We are given that the two short sides of the triangle have lengths of 5 and 12. Use the Pythagorean Theorem to find the length of the third side:

,

where and represent the two shorter sides of the triangle, and is the hypotenuse:

Now that we have the lengths of all three sides, add them together to find the perimeter:

The perimeter of the triangle is 30.

4

An equilateral triangle measures inches along its three equal sides. What is the area of the triangle?

inches

CORRECT

inches

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inches

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inches

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inches

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Explanation

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

inches

5

What is the area of a triangle with a base of units and a height of units?

CORRECT

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Explanation

The equation for the area of a tirangle is

The base in this equation is and the height is which can be plugged into the formula as:

Finally, we multiply to get:

6

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

CORRECT

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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:

7

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

square inches

CORRECT

square inches

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square inches

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square inches

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square inches

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Explanation

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

square inches

8

An isosceles triangle measures inches along its two equal sides, and inches along its third side. What is the area of the triangle?

inches

CORRECT

inches

0

inches

0

inches

0

inches

0

Explanation

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

inches

9

An isosceles triangle measures inches along its two equal sides, and inches along its third side. What is the perimeter of the triangle?

inches

CORRECT

inches

0

inches

0

inches

0

inches

0

Explanation

To find the perimeter of any object, simply add the length of each side together. This triangle has sides of 4, 4, and 7, so the answer is:

inches

10

Find the perimeter of an equilateral triangle with a side of length 14 inches.

CORRECT

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Explanation

The formula for the perimeter of a triangle is

where a, b, and c are the lengths of each side.

We know that an equillateral triangle has 3 equal sides. Therefore,

Therefore, the perimeter of an equillateral triangle with a side of length 14 inches is 42 inches.