Basic Geometry : Plane Geometry

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #2 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

What is the perimeter of a right isosceles triangle that has leg lengths of ?

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the perimeter of a triangle:

Now, because this is a right isosceles triangle, we know the following:

From the information given in the question, we already have two of the sides needed. Now, recall the Pythagorean Theorem to find the third side of the triangle, the hypotenuse.

The Pythagorean Theorem can then be simplifed to the following equation:

Now, solve for  since the question asks for the length of the hypotenuse.

Now, plug in the given value for  to find the length of the hypotenuse.

Now that we have all three sides of the triangle, we can find the perimeter. Use a calculator and round to  decimal places.

Example Question #3 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

What is the perimeter of a right isosceles triangle with leg lengths of ?

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the perimeter of a triangle:

Now, because this is a right isosceles triangle, we know the following:

From the information given in the question, we already have two of the sides needed. Now, recall the Pythagorean Theorem to find the third side of the triangle, the hypotenuse.

The Pythagorean Theorem can then be simplifed to the following equation:

Now, solve for  since the question asks for the length of the hypotenuse.

Now, plug in the given value for  to find the length of the hypotenuse.

Now that we have all three sides of the triangle, we can find the perimeter. Use a calculator and round to  decimal places.

Example Question #3 : How To Find The Perimeter Of A 45/45/90 Right Isosceles Triangle

What is the perimeter of a right isosceles triangle with leg lengths of ?

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the perimeter of a triangle:

Now, because this is a right isosceles triangle, we know the following:

From the information given in the question, we already have two of the sides needed. Now, recall the Pythagorean Theorem to find the third side of the triangle, the hypotenuse.

The Pythagorean Theorem can then be simplifed to the following equation:

Now, solve for  since the question asks for the length of the hypotenuse.

Now, plug in the given value for  to find the length of the hypotenuse.

Now that we have all three sides of the triangle, we can find the perimeter. Use a calculator and round to  decimal places.

Example Question #1111 : Plane Geometry

What is the perimeter of a right isosceles triangle with leg lengths of ?

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the perimeter of a triangle:

Now, because this is a right isosceles triangle, we know the following:

From the information given in the question, we already have two of the sides needed. Now, recall the Pythagorean Theorem to find the third side of the triangle, the hypotenuse.

The Pythagorean Theorem can then be simplifed to the following equation:

Now, solve for  since the question asks for the length of the hypotenuse.

Now, plug in the given value for  to find the length of the hypotenuse.

Now that we have all three sides of the triangle, we can find the perimeter. Use a calculator and round to  decimal places.

Example Question #1112 : Plane Geometry

What is the perimeter of a right isosceles triangle with leg lengths of ?

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the perimeter of a triangle:

Now, because this is a right isosceles triangle, we know the following:

From the information given in the question, we already have two of the sides needed. Now, recall the Pythagorean Theorem to find the third side of the triangle, the hypotenuse.

The Pythagorean Theorem can then be simplifed to the following equation:

Now, solve for  since the question asks for the length of the hypotenuse.

Now, plug in the given value for  to find the length of the hypotenuse.

Now that we have all three sides of the triangle, we can find the perimeter. Use a calculator and round to  decimal places.

Example Question #1113 : Plane Geometry

What is the perimeter of a right isosceles triangle with leg lengths of ?

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the perimeter of a triangle:

Now, because this is a right isosceles triangle, we know the following:

From the information given in the question, we already have two of the sides needed. Now, recall the Pythagorean Theorem to find the third side of the triangle, the hypotenuse.

The Pythagorean Theorem can then be simplifed to the following equation:

Now, solve for  since the question asks for the length of the hypotenuse.

Now, plug in the given value for  to find the length of the hypotenuse.

Now that we have all three sides of the triangle, we can find the perimeter. Use a calculator and round to  decimal places.

Example Question #1112 : Plane Geometry

What is the perimeter of a right isosceles triangle with leg lengths of ?

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the perimeter of a triangle:

Now, because this is a right isosceles triangle, we know the following:

From the information given in the question, we already have two of the sides needed. Now, recall the Pythagorean Theorem to find the third side of the triangle, the hypotenuse.

The Pythagorean Theorem can then be simplifed to the following equation:

Now, solve for  since the question asks for the length of the hypotenuse.

Now, plug in the given value for  to find the length of the hypotenuse.

Now that we have all three sides of the triangle, we can find the perimeter. Use a calculator and round to  decimal places.

Example Question #1115 : Plane Geometry

What is the perimeter of a right isosceles triangle with leg lengths of ?

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the perimeter of a triangle:

Now, because this is a right isosceles triangle, we know the following:

From the information given in the question, we already have two of the sides needed. Now, recall the Pythagorean Theorem to find the third side of the triangle, the hypotenuse.

The Pythagorean Theorem can then be simplifed to the following equation:

Now, solve for  since the question asks for the length of the hypotenuse.

Now, plug in the given value for  to find the length of the hypotenuse.

Now that we have all three sides of the triangle, we can find the perimeter. Use a calculator and round to  decimal places.

Example Question #1116 : Plane Geometry

What is the perimeter of a right isosceles triangle with leg lengths of ?

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the perimeter of a triangle:

Now, because this is a right isosceles triangle, we know the following:

From the information given in the question, we already have two of the sides needed. Now, recall the Pythagorean Theorem to find the third side of the triangle, the hypotenuse.

The Pythagorean Theorem can then be simplifed to the following equation:

Now, solve for  since the question asks for the length of the hypotenuse.

Now, plug in the given value for  to find the length of the hypotenuse.

Now that we have all three sides of the triangle, we can find the perimeter. Use a calculator and round to  decimal places.

Example Question #1117 : Plane Geometry

What is the perimeter of a right isosceles triangle with leg lengths of ?

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the perimeter of a triangle:

Now, because this is a right isosceles triangle, we know the following:

From the information given in the question, we already have two of the sides needed. Now, recall the Pythagorean Theorem to find the third side of the triangle, the hypotenuse.

The Pythagorean Theorem can then be simplifed to the following equation:

Now, solve for  since the question asks for the length of the hypotenuse.

Now, plug in the given value for  to find the length of the hypotenuse.

Now that we have all three sides of the triangle, we can find the perimeter. Use a calculator and round to  decimal places.

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