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Basic Geometry : Triangles

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Example Questions

Example Question #1402 : Basic Geometry

Find the area of a right triangle with leg lengths of and $\frac{1}{3}$ .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Because the legs of the right triangle form a right angle, the legs are also the base and the height.

To find the area of the right triangle, just plug in the values for the lengths of the legs into the equation given above.

$\text{Area}=\frac{1}{2} \left( 12 \times \frac{1}{3} \right)$

Simplify.

$\text{Area}=\frac{1}{2} \left( 4 \right)$

Solve.

$\text{Area}=2$

Report an Error

Example Question #421 : Triangles

Find the area of a right triangle with leg lengths of $\frac{1}{5}$ and $\frac{1}{2}$ .

Possible Answers:

$\frac{1}{10}$

$\frac{1}{5}$

$\frac{1}{20}$

$\frac{1}{30}$

Correct answer:

$\frac{1}{20}$

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Because the legs of the right triangle form a right angle, the legs are also the base and the height.

To find the area of the right triangle, just plug in the values for the lengths of the legs into the equation given above.

$\text{Area}=\frac{1}{2} \left( \frac{1}{5} \times \frac{1}{2} \right )$

Simplify.

$\text{Area}=\frac{1}{2} \left( \frac{1}{10} \right )$

Solve.

$\text{Area}=\frac{1}{20}$

Report an Error

Example Question #1404 : Basic Geometry

Find the area of a right triangle with leg lengths of and $\frac{1}{3}$ .

Possible Answers:

$\frac{2}{3}$

$\frac{5}{3}$

Correct answer:

$\frac{5}{3}$

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Because the legs of the right triangle form a right angle, the legs are also the base and the height.

To find the area of the right triangle, just plug in the values for the lengths of the legs into the equation given above.

$\text{Area}=\frac{1}{2} \left( 10 \times \frac{1}{3} \right)$

Simplify.

$\text{Area}=\frac{1}{2} \left( \frac{10}{3} \right)$

Solve.

$\text{Area}= \left( \frac{10}{6} \right)$

Reduce.

$\text{Area}= \frac{5}{3}$

Report an Error

Example Question #25 : How To Find The Area Of A Right Triangle

Find the area of a right triangle with leg lengths of and $\frac{1}{4}$ .

Possible Answers:

$\frac{7}{5}$

$\frac{3}{2}$

$\frac{7}{4}$

Correct answer:

$\frac{7}{4}$

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Because the legs of the right triangle form a right angle, the legs are also the base and the height.

To find the area of the right triangle, just plug in the values for the lengths of the legs into the equation given above.

$\text{Area}=\frac{1}{2}\left(14 \times \frac{1}{4}\right)$

Simplify.

$\text{Area}=\frac{1}{2}\left( \frac{14}{4}\right)$

Solve.

$\text{Area}= \frac{14}{8}$

Reduce.

$\text{Area}= \frac{7}{4}$

Report an Error

Example Question #1405 : Basic Geometry

Find the area of a right triangle with leg lengths of 0.12 and .

Possible Answers:

0.03

0.12

0.09

0.06

Correct answer:

0.06

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Because the legs of the right triangle form a right angle, the legs are also the base and the height.

To find the area of the right triangle, just plug in the values for the lengths of the legs into the equation given above.

$\text{Area}=\frac{1}{2}(0.12 \times 1)$

Simplify.

$\text{Area}=\frac{1}{2}(0.12)$

Solve.

$\text{Area}=0.06$

Report an Error

Example Question #27 : How To Find The Area Of A Right Triangle

Find the area of a right triangle with leg lengths of and $\frac{4}{5}$ .

Possible Answers:

$\frac{6}{5}$

$\frac{8}{5}$

$\frac{16}{5}$

Correct answer:

$\frac{8}{5}$

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Because the legs of the right triangle form a right angle, the legs are also the base and the height.

To find the area of the right triangle, just plug in the values for the lengths of the legs into the equation given above.

$\text{Area}=\frac{1}{2}\left(4 \times \frac{4}{5}\right)$

Simplify.

$\text{Area}=\frac{1}{2}\left( \frac{16}{5}\right)$

Solve.

$\text{Area}= \frac{16}{10}$

Reduce.

$\text{Area}= \frac{8}{5}$

Report an Error

Example Question #1406 : Basic Geometry

Find the area of a right triangle with leg lengths of 0.25 and .

Possible Answers:

$\frac{1}{4}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Because the legs of the right triangle form a right angle, the legs are also the base and the height.

To find the area of the right triangle, just plug in the values for the lengths of the legs into the equation given above.

$\text{Area}=\frac{1}{2}(0.25 \times 4)$

Simplify.

$\text{Area}=\frac{1}{2}(1)$

Solve.

$\text{Area}=\frac{1}{2}$

Report an Error

Example Question #1411 : Basic Geometry

Find the area of a right triangle with leg lengths of $\frac{1}{7}$ and $\frac{1}{8}$ .

Possible Answers:

$\frac{1}{28}$

$\frac{1}{112}$

$\frac{1}{14}$

$\frac{1}{56}$

Correct answer:

$\frac{1}{112}$

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Because the legs of the right triangle form a right angle, the legs are also the base and the height.

To find the area of the right triangle, just plug in the values for the lengths of the legs into the equation given above.

$\text{Area}=\frac{1}{2}\left(\frac{1}{7} \times \frac{1}{8}\right)$

Simplify.

$\text{Area}=\frac{1}{2}\left( \frac{1}{56}\right)$

Solve.

$\text{Area}=\frac{1}{112}$

Report an Error

Example Question #422 : Triangles

Find the area of a right triangle with leg lengths of and $\frac{1}{6}$ .

Possible Answers:

$\frac{1}{4}$

$\frac{1}{2}$

Correct answer:

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Because the legs of the right triangle form a right angle, the legs are also the base and the height.

To find the area of the right triangle, just plug in the values for the lengths of the legs into the equation given above.

$\text{Area}=\frac{1}{2}\left(12 \times \frac{1}{6}\right)$

Simplify.

$\text{Area}=\frac{1}{2}\left( \frac{12}{6}\right)$

Solve.

$\text{Area}=\frac{12}{12}$

Reduce.

$\text{Area}=1$

Report an Error

Example Question #1412 : Basic Geometry

Find the area of a right triangle with leg lengths of and .

Possible Answers:

$\frac{15}{2}$

$\frac{9}{2}$

Correct answer:

$\frac{15}{2}$

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Because the legs of the right triangle form a right angle, the legs are also the base and the height.

To find the area of the right triangle, just plug in the values for the lengths of the legs into the equation given above.

$\text{Area}=\frac{1}{2}(3 \times 5)$

Simplify.

$\text{Area}=\frac{1}{2}(15)$

Solve.

$\text{Area}=\frac{15}{2}$

Report an Error

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All Basic Geometry Resources

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Basic Geometry : Triangles

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #1402 : Basic Geometry

Example Question #421 : Triangles

Example Question #1404 : Basic Geometry

Example Question #25 : How To Find The Area Of A Right Triangle

Example Question #1405 : Basic Geometry

Example Question #27 : How To Find The Area Of A Right Triangle

Example Question #1406 : Basic Geometry

Example Question #1411 : Basic Geometry

Example Question #422 : Triangles

Example Question #1412 : Basic Geometry

All Basic Geometry Resources

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