Basic Geometry : How to find the area of a right triangle

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #61 : How To Find The Area Of A Right Triangle

Find the area.

5

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.

Example Question #62 : How To Find The Area Of A Right Triangle

Find the area.

8

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.

Example Question #63 : How To Find The Area Of A Right Triangle

Find the area.

9

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.

Example Question #64 : How To Find The Area Of A Right Triangle

Find the area.

11

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.

Example Question #65 : How To Find The Area Of A Right Triangle

Find the area.

12

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.

Example Question #271 : Right Triangles

Find the area.

6

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.

Example Question #272 : Right Triangles

Find the area.

7

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.

Example Question #273 : Right Triangles

Find the area.

10

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.

Example Question #1451 : Basic Geometry

Given that the two legas of a right triangle have lengths of and , find the area. 

Possible Answers:

Correct answer:

Explanation:

To find the area of a triangle, the formula is . By plugging in the information given, we get:

Example Question #1452 : Basic Geometry

Find the area of a right triangle whose side lengths are 5 and 4.

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a triangle. Thus,

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