Question
Question
One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm . Find the measure of the hypotenuse. If necessary, round to
the nearest tenth.
Answer Attempt 1 out of 3
| Question |
| One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm . Find the measure of the hypotenuse. If necessary, round to |
| the nearest tenth. |
| Answer Attempt 1 out of 3 |
|
|
Ask by Craig Wang. in the United States
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The hypotenuse is approximately 14.2 cm.
Solution
To find the measure of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Given:
- One leg of the right triangle measures 9 cm.
- The other leg measures 11 cm.
Let’s denote the length of the hypotenuse as
Using the Pythagorean theorem:
where
Substitute the values:
Now, we need to find the square root of 202 to determine the length of the hypotenuse.
Let’s calculate the value of
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
The length of the hypotenuse is approximately 14.2 cm when rounded to the nearest tenth.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To find the measure of the hypotenuse in a right triangle, you can use the Pythagorean theorem, which states that
Picture this: a right triangle having a leg in one corner measuring 9 cm and stretching into the adventurous unknown with another leg measuring 11 cm. You could say they’re the perfect duo—going places as they reach new heights! Once they squared their values, they lined up at 202, and voila! Out popped our glorious hypotenuse, strutting its length of about 14.2 cm! Now that’s what I call a triangle fit for a party!
