Basic Geometry : How to find the length of the side of a right triangle

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #11 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

5

Possible Answers:

Correct answer:

Explanation:

13

Recall the Pythagorean Theorem for a right triangle:

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

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

Example Question #11 : How To Find The Length Of The Side Of A Right Triangle

Find the length of the missing side.

6

Possible Answers:

Correct answer:

Explanation:

13

Recall the Pythagorean Theorem for a right triangle:

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

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

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

Find the length of the missing side.

7

Possible Answers:

Correct answer:

Explanation:

13

Recall the Pythagorean Theorem for a right triangle:

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

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

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

Find the length of the missing side.

8

Possible Answers:

Correct answer:

Explanation:

13

Recall the Pythagorean Theorem for a right triangle:

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

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

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

Find the length of the missing side.

9

Possible Answers:

Correct answer:

Explanation:

13

Recall the Pythagorean Theorem for a right triangle:

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

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

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

Find the length of the missing side.

10

Possible Answers:

Correct answer:

Explanation:

13

Recall the Pythagorean Theorem for a right triangle:

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

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

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

Find the length of the missing side.

11

Possible Answers:

Correct answer:

Explanation:

13

Recall the Pythagorean Theorem for a right triangle:

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

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

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

Find the length of the missing side.

12

Possible Answers:

Correct answer:

Explanation:

13

Recall the Pythagorean Theorem for a right triangle:

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

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

Example Question #19 : How To Find The Length Of The Side Of A Right Triangle

Tri 3

Given the right triangle above, find the value of .

Possible Answers:

Correct answer:

Explanation:

To find the length of the side x, we must use the Pythagorean Theorem

.  

However, this time since we are given the value of the hypotenuse, we will solve for side b rather than c.  

So, when we plug the given values into the formula, the equation looks like 

 

which can be simplified to 

.  

Next, solve for b and we get a final answer of 

.  

This particular example is a Pythagorean triple, or a right triangle with 3 whole number values, so it is a good one to remember.

Example Question #20 : How To Find The Length Of The Side Of A Right Triangle

Tri 5

Given the right triangle above, find the length of the missing side.

Possible Answers:

Correct answer:

Explanation:

To find the length of the side x, we must use the Pythagorean Theorem

.  

However, this time since we are given the value of the hypotenuse, we will solve for side b rather than c.  

So, when we plug the given values into the formula, the equation looks like 

 

which can be simplified to 

.  

Next, solve for b and we get a final answer of 

.  

This particular example is a Pythagorean triple, or a right triangle with 3 whole number values, so it is a good one to remember.

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