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 May 20th, 2019, 08:00 PM #1 Senior Member   Joined: Mar 2019 From: TTF area Posts: 180 Thanks: 1 Algebra word problem The formula for the length of the hypotenuse of a right-angled triangle, whose short sides are p, q is r² = p² + q² 1. Make p the subject of this formula. 2. Evaluate the shortest side of a right-angled triangle, if the other two sides have lengths given by q = 9.3 and r = 11.4. State the answer accurate to 1 d.p. Last edited by skipjack; May 21st, 2019 at 08:26 AM. May 20th, 2019, 08:47 PM #2 Senior Member   Joined: Oct 2018 From: USA Posts: 102 Thanks: 77 Math Focus: Algebraic Geometry $\displaystyle r^{2} = p^{2}+q^{2}$ $\displaystyle r^{2} - q^{2} = p^{2}$ $\displaystyle \sqrt{r^{2} - q^{2}} = p$ You should be able to go from here, if not, let me know. Thanks from topsquark Last edited by Greens; May 20th, 2019 at 08:47 PM. Reason: Latex May 20th, 2019, 09:38 PM #3 Senior Member   Joined: Mar 2019 From: TTF area Posts: 180 Thanks: 1 So does p = √(r+q)(r-q), -√(r+q)(r-q)? Last edited by skipjack; May 21st, 2019 at 08:32 AM. May 20th, 2019, 11:39 PM   #4
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 Originally Posted by helpmeddddd -√(r+q)(r-q)?
Since we're dealing with triangle lengths, we can't have negative length. May 21st, 2019, 08:35 AM #5 Global Moderator   Joined: Dec 2006 Posts: 21,124 Thanks: 2332 p = √(r² - q²) suffices. If q = 9.3 and r = 11.4, what value does that give you for p (to 1 d.p.)? May 21st, 2019, 12:42 PM   #6
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is there a good formula to use for this?
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Last edited by helpmeddddd; May 21st, 2019 at 12:53 PM. May 21st, 2019, 02:47 PM #7 Senior Member   Joined: Oct 2018 From: USA Posts: 102 Thanks: 77 Math Focus: Algebraic Geometry https://en.m.wikipedia.org/wiki/Pythagorean_theorem So in your case: $p^{2}+q^{2} = r^{2}$ Thanks from topsquark May 21st, 2019, 04:23 PM   #8
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Quote:
 Originally Posted by helpmeddddd State the answer accurate to 1 d.p.
That requirement is unclear. It doesn't tell you to round your answer or to truncate your answer. What exactly does "accurate to 1 d.p." mean? May 21st, 2019, 04:29 PM   #9
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Quote:
 Originally Posted by helpmeddddd The formula for the length of the hypotenuse of a right-angled triangle, whose short sides are p, q is r² = p² + q² 1. Make p the subject of this formula. 2. Evaluate the shortest side of a right-angled triangle, if the other two sides have lengths given by q = 9.3 and r = 11.4.
Are you a student attending math classes?

If so, seems to be something wrong with your teacher... May 21st, 2019, 08:43 PM   #10
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Quote:
 Originally Posted by Greens https://en.m.wikipedia.org/wiki/Pythagorean_theorem So in your case: $p^{2}+q^{2} = r^{2}$
why am I finding the length of r as I already know it? Tags algebra, problem, word Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Brian Leon Algebra 4 April 4th, 2017 09:02 AM Doc Algebra 5 October 9th, 2013 02:14 PM apparentlynothing Algebra 4 January 21st, 2013 07:14 PM Hansmatta Algebra 1 October 28th, 2011 02:28 AM mvanant123 Algebra 3 November 5th, 2008 12:23 PM

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