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Basic Geometry : Triangles

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9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Length Of The Side Of A Right Triangle

Find the missing leg of the right triangle when one of the legs is and the hypotenuse is .

Possible Answers:

Correct answer:

Explanation:

In order to find the missing side of a right triangle you must use one of two things:

1. Pythagorean Theorem

2. Trigonometry.

Since we only know what the side lengths are we must use the Pythagorean Theorem.

a^2 +b^2 =c^2

a=4, b=x, and c=5

(4)^2+x^2=(5)^2

16+x^2=25

x^2=9

x=3

So the missing side length is 3

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Example Question #1 : How To Find The Length Of The Side Of A Right Triangle

Given that the hypotenuse of a right triangle is and one side is , find the other side length.

Possible Answers:

144

Correct answer:

Explanation:

To find the length of the missing side, you can either use the pythagorean theorm or realize this is a case of a special right triangle with sides 5,12,13 .

Thus, the other side length is .

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Example Question #2 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

21.65

19.61

20.49

22.39

Correct answer:

20.49

Explanation:

Recall the Pythagorean Theorem for a right triangle:

a^2+b^2=c^2

Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for .

b^2=c^2-a^2

$b=\sqrt{c^2-a^2}$

Now, plug in values of and into a calculator to find the length of side . Round to decimal places.

$b=\sqrt{22^2-8^2}=\sqrt{420}=20.49$

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Example Question #1 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

21.97

16.37

18.01

20.07

Correct answer:

20.07

Explanation:

Recall the Pythagorean Theorem for a right triangle:

a^2+b^2=c^2

Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for .

b^2=c^2-a^2

$b=\sqrt{c^2-a^2}$

Now, plug in values of and into a calculator to find the length of side . Round to decimal places.

$b=\sqrt{22^2-p^2}=\sqrt{403}=20.07$

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Example Question #1 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

30.24

11.63

25.87

24.49

Correct answer:

24.49

Explanation:

Recall the Pythagorean Theorem for a right triangle:

a^2+b^2=c^2

Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for .

b^2=c^2-a^2

$b=\sqrt{c^2-a^2}$

Now, plug in values of and into a calculator to find the length of side . Round to decimal places.

$b=\sqrt{25^2-5^2}=\sqrt{600}=24.49$

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Example Question #1 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side length.

Possible Answers:

19.60

23.10

20.70

21.68

Correct answer:

19.60

Explanation:

Recall the Pythagorean Theorem for a right triangle:

a^2+b^2=c^2

Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for .

b^2=c^2-a^2

$b=\sqrt{c^2-a^2}$

Now, plug in values of and into a calculator to find the length of side . Round to decimal places.

$b=\sqrt{22^2-10^2}=\sqrt{384}=19.60$

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Example Question #211 : Triangles

Find the length of the missing side.

Possible Answers:

24.21

19.58

22.91

23.64

Correct answer:

22.91

Explanation:

Recall the Pythagorean Theorem for a right triangle:

a^2+b^2=c^2

Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for .

b^2=c^2-a^2

$b=\sqrt{c^2-a^2}$

Now, plug in values of and into a calculator to find the length of side . Round to decimal places.

$b=\sqrt{25^2-10^2}=\sqrt{525}=22.91$

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Example Question #212 : Triangles

Find the length of the missing side.

Possible Answers:

25.91

19.33

21.93

24.36

Correct answer:

21.93

Explanation:

Recall the Pythagorean Theorem for a right triangle:

a^2+b^2=c^2

Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for .

b^2=c^2-a^2

$b=\sqrt{c^2-a^2}$

Now, plug in values of and into a calculator to find the length of side . Round to decimal places.

$b=\sqrt{25^2-12^2}=\sqrt{481}=21.93$

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Example Question #213 : Triangles

Find the length of the missing side.

Possible Answers:

12.36

19.55

Correct answer:

Explanation:

Recall the Pythagorean Theorem for a right triangle:

a^2+b^2=c^2

Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for .

b^2=c^2-a^2

$b=\sqrt{c^2-a^2}$

Now, plug in values of and into a calculator to find the length of side . Round to decimal places.

$b=\sqrt{25^2-15^2}=\sqrt{400}=20$

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Example Question #214 : Triangles

Find the length of the missing side.

Possible Answers:

17.75

19.39

18.25

16.81

Correct answer:

17.75

Explanation:

Recall the Pythagorean Theorem for a right triangle:

a^2+b^2=c^2

Since the missing side corresponds to side , rewrite the Pythagorean Theorem and solve for .

b^2=c^2-a^2

$b=\sqrt{c^2-a^2}$

Now, plug in values of and into a calculator to find the length of side . Round to decimal places.

$b=\sqrt{18^2-3^2}=\sqrt{315}=17.75$

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Basic Geometry : Triangles

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #1 : How To Find The Length Of The Side Of A Right Triangle

Example Question #1 : How To Find The Length Of The Side Of A Right Triangle

Example Question #2 : How To Find The Length Of The Side Of A Right Triangle

Example Question #1 : How To Find The Length Of The Side Of A Right Triangle

Example Question #1 : How To Find The Length Of The Side Of A Right Triangle

Example Question #1 : How To Find The Length Of The Side Of A Right Triangle

Example Question #211 : Triangles

Example Question #212 : Triangles

Example Question #213 : Triangles

Example Question #214 : Triangles

All Basic Geometry Resources

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