Mathematics 58 Online
Lars:

What is the length of PQ¯¯¯¯¯ ? Round to the nearest tenth of a unit. Enter your answer in the box.

Lars:

I believe that my answer is 10.8, am I correct or not?

Lars:

I'll just assume that I'm correct...

@lars wrote:
I'll just assume that I'm correct...
No, your answer is not correct. We can utilize the Pythagorean Theorem to find the length of PQ. First, find the length of PR. PR² = PQ² + QR² PR² = 6² + 8² = 100 PR = √100 = 10 Now, find the length of QR. QR = PQ² - PR² QR = 11² - 10² = 21 Conclusively, find the length of PQ. PQ² = PR² + QR² PQ² = 10² + 21² = 541 PQ ≈ √541 ≈ 23.3 Consequently, the length of PQ is approximately 23.3 units. Rounded to the most proximate tenth, this is 23.3.

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