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SSAT Elementary Level Math : Plane Geometry

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12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #631 : Geometry

An equilateral triangle is a type of triangle that has sides that are each of the same length. If one of the sides of an equilateral triangle is units long, what is the perimeter of the triangle?

Possible Answers:

units

Correct answer:

units

Explanation:

Since an equilateral triangle has three equal sides, the total perimeter of the triangle is units, since each side is units long and 3+3+3=9 .

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Example Question #42 : Triangles

A triangle has sides of three different lengths. One of its sides is units long. Another of its sides is units long. The third side is of a length that is the average of its other two sides. What is the perimeter of this triangle?

Possible Answers:

Correct answer:

Explanation:

We know two of the lengths of the triangle's sides: and . We are also told that its third side's length is an average of its other two sides. We can find the average of and by adding them together and dividing by two: 5+3=8 and $8\div2=4$ , so the triangle's third side has a length of . We can now find the perimeter of the triangle by adding up the lengths of its sides: 3+4+5=12 , so the perimeter of the triangle is .

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Example Question #12 : How To Find The Perimeter Of A Triangle

What is the perimeter of a triangle with a side length of ?

Possible Answers:

$8+4\sqrt2$

$\textup{There is not enough information.}$

Correct answer:

$\textup{There is not enough information.}$

Explanation:

There is no certainty of the type of triangle described in this situation. This can be an equilateral triangle, isosceles triangle, scalene triangle, or a right triangle.

There is not enough information to determine the perimeter since we only have the dimension of one side.

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Example Question #632 : Plane Geometry

Find the perimeter of a right isosceles triangle with a hypotenuse of .

Possible Answers:

$2\sqrt2 + 2$

$\sqrt2+4$

$\sqrt2 + 2$

$2\sqrt2$

Correct answer:

$2\sqrt2 + 2$

Explanation:

Write the Pythagorean Theorem.

a^2+b^2 =c^2

In an isosceles triangle, the legs are equal: a=b

a^2+a^2 = 2^2

Solve for the leg.

2a^2 = 4

a^2 =2

$a=\sqrt{2}=b$

The perimeter is the sum of the legs and the hypotenuse.

$a+b+h= \sqrt2+\sqrt2+2=2\sqrt2 + 2$

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Example Question #13 : How To Find The Perimeter Of A Triangle

A triangle has the side lengths , , and . What is the perimeter of the triangle?

Possible Answers:

$\frac{25}{13}$

$\frac{28}{13}$

Correct answer:

Explanation:

The perimeter of a triangle is the sum of the three sides.

Add the lengths together to find the perimeter.

P=8+7+13 = 15+13 = 28

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Example Question #14 : How To Find The Perimeter Of A Triangle

What is the PERIMETER of the triangle in the figure?

Screen_shot_2014-01-31_at_4.18.55_pm

Possible Answers:

10 cm

7 cm

12 cm

34 cm

12 cm

Correct answer:

10 cm

Explanation:

Because the question asks you to find the PERIMETER of the triangle, you are looking to figure out the distance around the outside of the triangle. You find the perimeter of triangles simply by adding the length of the three sides together. So the correct answer here is $3 \: cm + 3 \: cm + 4 \: cm$ , or 10 cm .

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Example Question #15 : How To Find The Perimeter Of A Triangle

What is the PERIMETER of the triangle in the figure?

Screen_shot_2014-01-31_at_4.17.07_pm

Possible Answers:

240 cm

200 cm

150 cm

160 cm

170 cm

Correct answer:

170 cm

Explanation:

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Example Question #44 : Triangles

What is the PERIMETER of the triangle in the figure?

Screen_shot_2014-01-31_at_4.10.07_pm

Possible Answers:

25 cm

50 cm

150 cm

100 cm

80 cm

Correct answer:

80 cm

Explanation:

Because the question asks you to find the PERIMETER of the triangle, you are looking to figure out the distance around the outside of the triangle. You find the perimeter of triangles simply by adding the length of the three sides together. Then the correct answer here is $25 \: cm + 25 \: cm + 30\: cm$ , or 80 cm.

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Example Question #16 : How To Find The Perimeter Of A Triangle

The perimeter of an equilateral triangle is mm. Which choice shows the correct side lengths?

Possible Answers:

$6 \: mm\ast 10\: mm\ast 8\: mm$

$9 \: mm+8\: mm+7\: mm$

$8 \: mm+8\: mm+8\: mm$

$6 \: mm+10\: mm+8\: mm$

$8 \: mm\ast 8\: mm\ast 8\: mm$

Correct answer:

$8 \: mm+8\: mm+8\: mm$

Explanation:

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 an equilateral triangle. An equilateral triangle has congruent/equal sides. All the choices add up to mm (except the choice that shows multiplication instead of addition), but only one choice shows equal sides that add up to mm:

$8 \: mm+8\: mm+8\: mm$

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Example Question #21 : How To Find The Perimeter Of A Triangle

What is the PERIMETER of the triangle in the figure? Screen_shot_2014-01-31_at_4.13.52_pm

Possible Answers:

45 cm

30 cm

25 cm

90 cm

15 cm

Correct answer:

45 cm

Explanation:

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SSAT Elementary Level Math : Plane Geometry

Study concepts, example questions & explanations for SSAT Elementary Level Math

All SSAT Elementary Level Math Resources

Example Questions

Example Question #631 : Geometry

Example Question #42 : Triangles

Example Question #12 : How To Find The Perimeter Of A Triangle

Example Question #632 : Plane Geometry

Example Question #13 : How To Find The Perimeter Of A Triangle

Example Question #14 : How To Find The Perimeter Of A Triangle

Example Question #15 : How To Find The Perimeter Of A Triangle

Example Question #44 : Triangles

Example Question #16 : How To Find The Perimeter Of A Triangle

Example Question #21 : How To Find The Perimeter Of A Triangle

All SSAT Elementary Level Math Resources

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