The length of the three sides is a, b, and the root number is a 2 ab b b 2, then the longest side is

Updated on educate 2024-05-05
13 answers
  1. Anonymous users2024-02-09

    Root number B - root number A +8 > A - root number ab + "root number B B - root number ab - root number a a + root number ab> divided by 8 root number ab root number a + root number b = ( b - a + 8) a ( a - b) + [ 8 ( b - a) - 8 ( a + b)]*a+ b) 8 ab = ( b - a + 8) a ( a - b) + 8 a ( b- a ( b- a) (

  2. Anonymous users2024-02-08

    a 2 + b 2-c 2) 2-4a 2b 2 flat match chaotic variance.

    a 2+2ab+b 2-c 2)(a 2-2ab+b 2-c 2)[(a+b) 2-c 2][(a-b) 2-c 2](a+b+c)(a+b-c)(a-b+c)(a-b-c) The sum of the two sides of the triangle is greater than the first argument and the three carrying sides.

    So a+b-c>0

    a-b+c>0

    a-b-c0

    Three positive and one negative, multiplied less than.

    So(a2+b2-c2) 2-4a2b2

  3. Anonymous users2024-02-07

    Suppose a>b compares (a 2-ab+b 2) and a, i.e., their square comparison a 2-ab+b 2-a 2=b(b-a)< 0 compares (a 2-ab+b 2) and b, i.e., their square comparison a 2-ab+b 2-b 2=a(a-b)>0 so a> (a 2-ab+b 2)>b according to the cosine theorem cosq= [a 2+b 2-(a 2-ab+b 2)] (2ab)=1 2 q = 60 degrees.

    If a

  4. Anonymous users2024-02-06

    cosc=(a2+b2-c2) 2ab=-1 2,c=120 degrees, which is the maximum angle, because there cannot be two inside angles greater than 90 degrees within a triangle.

  5. Anonymous users2024-02-05

    > = 0m is greater than or equal to zero.

    a-b)²-c²

    a-b+c)(a-b-c)

    a+c>b a-b+c>0

    b+c>a a-b-c<0

    m-c²<0

    m-c is less than zero.

  6. Anonymous users2024-02-04

    m 0 because m = (a-b)2

    When a=b, the original = 0

    When a=b, the original = 0

    m-c is less than zero.

  7. Anonymous users2024-02-03

    (a 2+b 2-c 2) 2-4a 2b 2 (factorization) = (a 2 + b 2-c 2 + 2ab) (a 2 + b 2-c 2-2ab).

    (a+b) 2-c 2][(a-b) 2-c 2] (refactoring).

    a+b+c)(a+b-c)(a-b+c)(a-b-c) Since the sum of any two sides of the triangle is greater than the third side, the first three formulas in the above equation are all greater than 0, and only the last equation is less than 0, so [a +b -c] 4a b must be a negative value.

  8. Anonymous users2024-02-02

    by the previous step. a-c=2b(a-c)

    Move the number to the right of the equal sign to the left.

    Amount. a-c)+2b(a-c)=0

    The common factor (a-c) is then extracted

    And I got it. a-c)(1+2b)=0

    Sorted out. a-c)(2b+1)=0

    This step is just a variation of the equation. Hope.

  9. Anonymous users2024-02-01

    Because a-c = -2b (a-c).

    So (a-c) + 2b (a-c) = 0 (move the number to the right of the equal sign to the left) (property of equation 1).

    So (a-c) (1 + 2b) = 0 (extract the common factor (a-c)) so (a-c) (2b + 1) = 0

    Actually, this step is just a variation of the equation. ^_

  10. Anonymous users2024-01-31

    Move the right side of the equation to the left, and then mention the common a-c

  11. Anonymous users2024-01-30

    1) If a, b, and qi ji c are the three high chain balance sides of the triangle, verify that a 2-2ab- c 2+b 2b, a-b+c>0

    b+c>a,a-b-c

  12. Anonymous users2024-01-29

    Solution: 3c=12, c=4, a+b=8 , a-b=2 from the first two formulas, and a=5 and -b=3 from +

    a=5,b=3,c=4

  13. Anonymous users2024-01-28

    Because a plus b plus c = 12, and a plus b = 2c, a-b = 2, a = 5, b = 3, c = 4

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