anonymous
  • anonymous
NEED HELP SOS Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an obtuse triangle. A. 4 B. 5 C. 6 D. 11
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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welshfella
  • welshfella
In an obtuse triangle c^2 > a^2 + b^2
welshfella
  • welshfella
so if we take c = 10 what inequality can we write?
welshfella
  • welshfella
10^2 > 5^2 + b^2 can you solve this for b^2? then for b?

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More answers

anonymous
  • anonymous
100 + 25
welshfella
  • welshfella
not +
anonymous
  • anonymous
100 > 25 + 36 for 6
anonymous
  • anonymous
i thought the asnwer would be 6
welshfella
  • welshfella
b^2 < 100 - 25 b^2 < 75
welshfella
  • welshfella
b < sqrt75 b < 8.66
anonymous
  • anonymous
im really confused
welshfella
  • welshfella
b cannot be 4 or 5 because that would not make a triangle and 11 > 8.66 therefore the answer is 6
anonymous
  • anonymous
8 isnt an option
anonymous
  • anonymous
oh i get it
anonymous
  • anonymous
i have one more question
welshfella
  • welshfella
ok
anonymous
  • anonymous
how do i find an acute triangle
anonymous
  • anonymous
Using Pythagorean inequalities, determine which set of the given three sides produces an acute triangle.
welshfella
  • welshfella
for an acute angle , if c is the longest side, c^2 < a^2 + b^2
anonymous
  • anonymous
3, 4, 5 6,12,20 4,6,10, 5,12,18 ALL NUMBERS TO SQUARE ROOT
welshfella
  • welshfella
- and dont forget for all triangles the sum of any 2 sides must exceed the length of the other side
anonymous
  • anonymous
what
anonymous
  • anonymous
i dont know how to do it cause the numbers are squared
welshfella
  • welshfella
what exactly is the second question?
anonymous
  • anonymous
Using Pythagorean inequalities, determine which set of the given three sides produces an acute triangle.
anonymous
  • anonymous
6 minutes till time runs out on this question:/
welshfella
  • welshfella
well the first one is a right angled triangle because 5^2 = 3^2 + 4^2
anonymous
  • anonymous
what about C
anonymous
  • anonymous
rembember all the numbers are squared
welshfella
  • welshfella
the 2nd is not a triangle? can you see why? neither is the third why?
anonymous
  • anonymous
4, 6,10 4x4 = 16 6x6=36
welshfella
  • welshfella
and 10^2 = 100 but 4+6 = 10 so its not a triangle..
anonymous
  • anonymous
oh
welshfella
  • welshfella
you cant draw a triangle with sides this length
welshfella
  • welshfella
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welshfella
  • welshfella
- they give a straight line
anonymous
  • anonymous
i see
welshfella
  • welshfella
also 18 > 5 + 12 so that's not a triangle also
anonymous
  • anonymous
i got the answer wrong
welshfella
  • welshfella
the only one which is a triangle is A but that's a right-angled triangle because it fits the Pythagoras theorem.
welshfella
  • welshfella
what is the correct answer?

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