Basic Geometry : How to find the perimeter of a 45/45/90 right isosceles triangle

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #21 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

Find the perimeter.

2

Possible Answers:

Correct answer:

Explanation:

13

Notice that the given triangle is a right isosceles triangle. The two legs with the tick marks are the same length.

The lengths of the legs in the given triangle are then .

Next, find the length of the hypotenuse by using the Pythagorean Theorem.

Plug in the value of the length of a leg to find the length of the hypotenuse.

Finally, recall how to find the perimeter of a triangle:

Plug in the values for this triangle to find its perimeter.

Make sure to round to two places after the decimal.

Example Question #21 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

Find the perimeter.

3

Possible Answers:

Correct answer:

Explanation:

13

Notice that the given triangle is a right isosceles triangle. The two legs with the tick marks are the same length.

The lengths of the legs in the given triangle are then .

Next, find the length of the hypotenuse by using the Pythagorean Theorem.

Plug in the value of the length of a leg to find the length of the hypotenuse.

Finally, recall how to find the perimeter of a triangle:

Plug in the values for this triangle to find its perimeter.

Make sure to round to two places after the decimal.

Example Question #22 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

Find the perimeter.

4

Possible Answers:

Correct answer:

Explanation:

13

Notice that the given triangle is a right isosceles triangle. The two legs with the tick marks are the same length.

The lengths of the legs in the given triangle are then .

Next, find the length of the hypotenuse by using the Pythagorean Theorem.

Plug in the value of the length of a leg to find the length of the hypotenuse.

Finally, recall how to find the perimeter of a triangle:

Plug in the values for this triangle to find its perimeter.

Make sure to round to two places after the decimal.

Example Question #21 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

Find the perimeter.

6

Possible Answers:

Correct answer:

Explanation:

13

Notice that the given triangle is a right isosceles triangle. The two legs with the tick marks are the same length.

The lengths of the legs in the given triangle are then .

Next, find the length of the hypotenuse by using the Pythagorean Theorem.

Plug in the value of the length of a leg to find the length of the hypotenuse.

Finally, recall how to find the perimeter of a triangle:

Plug in the values for this triangle to find its perimeter.

Make sure to round to two places after the decimal.

Example Question #24 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

Find the perimeter.

5

Possible Answers:

Correct answer:

Explanation:

13

Notice that the given triangle is a right isosceles triangle. The two legs with the tick marks are the same length.

The lengths of the legs in the given triangle are then .

Next, find the length of the hypotenuse by using the Pythagorean Theorem.

Plug in the value of the length of a leg to find the length of the hypotenuse.

Finally, recall how to find the perimeter of a triangle:

Plug in the values for this triangle to find its perimeter.

Make sure to round to two places after the decimal.

Example Question #26 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

Find the perimeter.

7

Possible Answers:

Correct answer:

Explanation:

13

Notice that the given triangle is a right isosceles triangle. The two legs with the tick marks are the same length.

The lengths of the legs in the given triangle are then .

Next, find the length of the hypotenuse by using the Pythagorean Theorem.

Plug in the value of the length of a leg to find the length of the hypotenuse.

Finally, recall how to find the perimeter of a triangle:

Plug in the values for this triangle to find its perimeter.

Make sure to round to two places after the decimal.

Example Question #27 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

Find the perimeter.

8

Possible Answers:

Correct answer:

Explanation:

13

Notice that the given triangle is a right isosceles triangle. The two legs with the tick marks are the same length.

The lengths of the legs in the given triangle are then .

Next, find the length of the hypotenuse by using the Pythagorean Theorem.

Plug in the value of the length of a leg to find the length of the hypotenuse.

Finally, recall how to find the perimeter of a triangle:

Plug in the values for this triangle to find its perimeter.

Make sure to round to two places after the decimal.

Example Question #25 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

Find the perimeter.

9

Possible Answers:

Correct answer:

Explanation:

13

Notice that the given triangle is a right isosceles triangle. The two legs with the tick marks are the same length.

The lengths of the legs in the given triangle are then .

Next, find the length of the hypotenuse by using the Pythagorean Theorem.

Plug in the value of the length of a leg to find the length of the hypotenuse.

Finally, recall how to find the perimeter of a triangle:

Plug in the values for this triangle to find its perimeter.

Make sure to round to two places after the decimal.

Example Question #22 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

Find the perimeter.

10

Possible Answers:

Correct answer:

Explanation:

13

Notice that the given triangle is a right isosceles triangle. The two legs with the tick marks are the same length.

The lengths of the legs in the given triangle are then .

Next, find the length of the hypotenuse by using the Pythagorean Theorem.

Plug in the value of the length of a leg to find the length of the hypotenuse.

Finally, recall how to find the perimeter of a triangle:

Plug in the values for this triangle to find its perimeter.

Make sure to round to two places after the decimal.

Example Question #22 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

Find the perimeter.

11

Possible Answers:

Correct answer:

Explanation:

13

Notice that the given triangle is a right isosceles triangle. The two legs with the tick marks are the same length.

The lengths of the legs in the given triangle are then .

Next, find the length of the hypotenuse by using the Pythagorean Theorem.

Plug in the value of the length of a leg to find the length of the hypotenuse.

Finally, recall how to find the perimeter of a triangle:

Plug in the values for this triangle to find its perimeter.

Make sure to round to two places after the decimal.

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