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

## Example Questions

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

Find the length of the missing side.

Explanation:

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.

Explanation:

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.

Explanation:

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.

Explanation:

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.

Explanation:

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.

Explanation:

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.

Explanation:

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.

Explanation:

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

Given the right triangle above, find the value of .

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

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

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.