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Basic Geometry : Right Triangles

Study concepts, example questions & explanations for Basic Geometry

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

Example Questions

Example Question #9 : 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

24.49

25.87

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 #10 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side length.

Possible Answers:

19.60

20.70

21.68

23.10

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 #21 : Right Triangles

Find the length of the missing side.

Possible Answers:

23.64

22.91

24.21

19.58

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 #12 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

19.33

24.36

21.93

25.91

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 #13 : How To Find The Length Of The Side Of A Right Triangle

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 #14 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

17.75

19.39

16.81

18.25

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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Example Question #15 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

21.57

13.69

17.98

16.58

Correct answer:

16.58

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.

$b=\sqrt{18^2-7^2}=\sqrt{275}=16.58$

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Example Question #16 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

14.52

17.99

15.59

16.23

Correct answer:

15.59

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.

$b=\sqrt{18^2-9^2}=\sqrt{243}=15.59$

Report an Error

Example Question #17 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

18.92

14.62

12.68

16.97

Correct answer:

16.97

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.

$b=\sqrt{18^2-6^2}=\sqrt{288}=16.97$

Report an Error

Example Question #18 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

Possible Answers:

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.

$b=\sqrt{17^2-8^2}=\sqrt{225}=15$

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Basic Geometry : Right Triangles

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #9 : How To Find The Length Of The Side Of A Right Triangle

Example Question #10 : How To Find The Length Of The Side Of A Right Triangle

Example Question #21 : Right Triangles

Example Question #12 : How To Find The Length Of The Side Of A Right Triangle

Example Question #13 : How To Find The Length Of The Side Of A Right Triangle

Example Question #14 : How To Find The Length Of The Side Of A Right Triangle

Example Question #15 : How To Find The Length Of The Side Of A Right Triangle

Example Question #16 : How To Find The Length Of The Side Of A Right Triangle

Example Question #17 : How To Find The Length Of The Side Of A Right Triangle

Example Question #18 : How To Find The Length Of The Side Of A Right Triangle

All Basic Geometry Resources

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