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ISEE Lower Level Math : Triangles

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Example Questions

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Example Question #361 : Plane Geometry

An equilateral triangle measures 7.2 inches along its three equal sides. What is the perimeter of the triangle?

Possible Answers:

21.6 $\textup{in.}$

20.6 $\textup{in.}$

26.6 $\textup{in.}$

21.2 $\textup{in.}$

26.2 $\textup{in.}$

Correct answer:

21.6 $\textup{in.}$

Explanation:

To find the perimeter of any object, simply add the length of each side together. In the case of an equilateral triangle, because all three sides are equal, and there are three of them, you can also multiply the side length by three. The best answer is:

7.2 * 3 = 21.6 inches

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Example Question #368 : Plane Geometry

Find the perimeter of an equilateral triangle with a base of 18in.

Possible Answers:

$72\text{in}$

$54\text{in}$

$27\text{in}$

$\text{There is not enough information to solve the problem.}$

$36\text{in}$

Correct answer:

$54\text{in}$

Explanation:

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

$\text{perimeter of triangle} = a+b+c$

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

Now, we know the base of the triangle has a length of 18in. Because it is an equilateral triangle, all lengths are the same. Therefore, all lengths are 18in.

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

$\text{perimeter of triangle} = 18\text{in} +18\text{in} +18\text{in}$

$\text{perimeter of triangle} = 54\text{in}$

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Example Question #369 : Plane Geometry

Find the perimeter of an equilateral triangle with a base of 14in.

Possible Answers:

$\text{There is not enough information to solve the problem.}$

$46\text{in}$

$36\text{in}$

$28\text{in}$

$42\text{in}$

Correct answer:

$42\text{in}$

Explanation:

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

$\text{perimeter of triangle} = a+b+c$

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

Now, we know the base of the triangle is 14in. Because it is an equilateral triangle, all sides are equal. Therefore, all sides are 14in.

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

$\text{perimeter of triangle} = 14\text{in} + 14\text{in} + 14\text{in}$

$\text{perimeter of triangle} = 42\text{in}$

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Example Question #1321 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the perimeter of the following triangle:

Triangle6

Possible Answers:

$28\text{ft}$

$16\text{ft}$

$30\text{ft}$

$36\text{ft}$

$22\text{ft}$

Correct answer:

$28\text{ft}$

Explanation:

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

P = a+b+c

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

Now, given the triangle

Triangle6

we can see it has sides of length 10ft, 6ft, and 12ft. Knowing this, we can substitute into the formula. We get

$P = 10\text{ft} + 6\text{ft} +12\text{ft}$

$P = 28\text{ft}$

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Example Question #52 : How To Find The Perimeter Of A Triangle

Find the length of one side of an equilateral triangle that has a perimeter of 27cm.

Possible Answers:

$7\text{cm}$

$9\text{cm}$

$5\text{cm}$

$6\text{cm}$

$8\text{cm}$

Correct answer:

$9\text{cm}$

Explanation:

The formula to find perimeter of an equilateral triangle is

P = 3a

where a is the length of one side. We can multiply that by 3, because an equilateral triangle has 3 equal sides. Now, to find the length of one side, we will solve for a.

So, we know the perimeter of the equilateral triangle is 27cm. Knowing this, we can substitute. We get

$27\text{cm} = 3a$

$\frac{27\text{cm}}{3} = \frac{3a}{3}$

$9\text{cm} = a$

$a = 9\text{cm}$

Therefore, the length of one side of the equilateral triangle is 9cm.

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Example Question #53 : How To Find The Perimeter Of A Triangle

Use the following triangle to answer the question:

Triangle5

Find the perimeter.

Possible Answers:

$16\text{ft}$

$20\text{ft}$

$17\text{ft}$

$19\text{ft}$

$18\text{ft}$

Correct answer:

$19\text{ft}$

Explanation:

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

P = a+b+c

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

Now, given the triangle

Triangle5

we can see that it has sides of length 8ft, 4ft, and 7ft. So, we get

$P = 8\text{ft} + 4\text{ft} + 7\text{ft}$

$P = 19\text{ft}$

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Example Question #54 : How To Find The Perimeter Of A Triangle

An equilateral triangle has a perimeter of 42 cm. What is the length of one of its sides?

Possible Answers:

$12\ cm$

$16\ cm$

$14\ cm$

$20\ cm$

$10\ cm$

Correct answer:

$14\ cm$

Explanation:

By definition, an equilateral triangle is a triangle with three equal sides. That is, the length of each side of the triangle is going to be the same.

In this problem, we know that the perimeter (the sum of all the lengths) is 42 cm.

Side 1 + Side 2 + Side 3 = 42 cm.

Since the sides are equal, we can write the following equation. S = one side of the triangle

3S=42 cm.

To find the length of one side of the triangle, we would then divide 3 from both sides.

$\frac{3}{3}S=\frac{42}{3}$

1S=14 Remember that 1*S is the same as

$S=14\ cm.$

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ISEE Lower Level Math : Triangles

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #361 : Plane Geometry

Example Question #368 : Plane Geometry

Example Question #369 : Plane Geometry

Example Question #1321 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #52 : How To Find The Perimeter Of A Triangle

Example Question #53 : How To Find The Perimeter Of A Triangle

Example Question #54 : How To Find The Perimeter Of A Triangle

All ISEE Lower Level Math Resources

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