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Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

Please answer two math questions I can't seem to help my daughter with?

1) 6^2+ b^2= 10^2 b=?

2)Find side a if side b=4.5 inches and side c=10 inches.

The triangle is a right scalene one. The abc order is: B on the very left side, A underneath, and c on the right slanted side.

__________inches?

10 Answers

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  • 9 years ago
    Favorite Answer

    1)

    6² + b² = 10²

    36 + b² = 100 (subtract both sides by 36)

    b² = 64 (get the square root both sides)

    b = 8

    2)

    By Pythagorean theorem;

    a= ? , b=4.5, c= 10

    c² = a² + b² (substitute values)

    10² = a² + (4.5)²

    100 = a² + 20.25 (subtract both sides by 20.25)

    79.75 = a² (get the square root both sides)

    a=8.93028555 inches ~~ 8.9inches (approximately)

  • -j.
    Lv 7
    9 years ago

    1) 6^2 = 6 * 6 = 36

    10^2 = 10 * 10 = 100

    So

    6^2 + b^2 = 10^2

    36 + b^2 = 100

    b^2 = 100 - 36

    b^2 = 65

    b = 8

    2)

    The pythagorean theorem says:

    a^2 + b^2 = c^2

    Where a and b are the two legs of a right triangle, and c is the hypotenuse (the "slanted side").

    So

    a^2 + (4.5)^2 = (10^2)

    a^2 + 20.25 = 100

    a^2 = 100 - 20.25

    a^2 = 79.75

    a = square root of 79.75

    a = 8.93 (rounded)

  • ?
    Lv 7
    9 years ago

    1) This is the Pythagorean Theorem, and is used to solve right triangles.

    6^2 + b^2 = 10^2

    6*6 + b^2 = 10*10

    36 + b^2 = 100

    -36..............-36

    ---------------------

    .......b^2 = 64...................take the square root of both sides.

    √b^2 = √64.......................8*8=64 so √64 =√8^2 = 8........rule √N^2 = N

    b = 8

    2)Since this is a right scalene triangle, it will still obey the Pythagorean Theorem,

    with "c" the hypotenuse (a^2 + b^2 = c^2)

    a^2 + 4.5^2 = 10^2

    a^2 4.5*4.5 = 10*10

    a^2 + 20.25 = 100

    .......-20.25 = -20.25

    -------------------------

    a^2............= 79.75

    √a^2 ........= √79.75..............use a calculator.....http://www.ecalc.com/

    a = 8.93 inches.

  • 9 years ago

    This is Pythagoras.

    which is

    h^2 = a^2 + b^2 for a right angled triangle.

    1) 6^2 + b^2 = 10^2

    b^2 = 10^2 - 6^2

    b^2 = ( 10 - 6)(10 + 6)

    b^2 = 4*16

    b^2 = 64

    b = 8

    2).

    10^2 = a^2 + 4.5^2

    a^2 = 10^2 - 4.5^2

    a^2 = (10 - 4.5)(10 + 4.5)

    a^2 = 5.5 * 14.5

    a^2 = 79.75

    a = sqrt(79.75) = 8.93...ins.

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  • 9 years ago

    Hello

    1)

    b² = 10² - 6² = 100 - 36 = 64

    b = ± 8

    But if b is the side of a triangle, b = +8

    2)

    Seems that the lypotenuse is a

    Is it this scheme ?

    http://img823.imageshack.us/img823/3005/aaalrt.png

    Then, with the pythagorean theorem, a² = b² + c² = 4.5² + 10² = 120.25

    a = √120.25 = 10.97

    Hope it helped

    Bye !

  • ?
    Lv 7
    9 years ago

    6² + b² = 10²

    36 + b² = 100

    b² = 100 - 36

    b² = 64

    b = ±√64

    b = ±8

    a² + b² = c²

    a² + 4.5² = 10²

    a² + 20.25 = 100

    a² = 100 - 20.25

    a² = 79.75

    a = √79.75

    a = 8.93 inches (to 3sf)

  • Como
    Lv 7
    9 years ago

    1)

    b² = 64

    b = ± 8

    2)

    10² = a² + 4.5²

    a² = 100 - 81/4

    a² = 319/4

    a = (1/2)√319 ins

  • PaulR2
    Lv 7
    9 years ago

    1) 6²+b²=10²

    b²=100-36

    b²=64

    b=±8 <=========Answer

    2) a²+b²=c²

    a²+20.25=100

    a²=79.75

    a≈8.93 inches <=========Answer

  • 9 years ago

    1. b=8

    2. 8.93

  • Anonymous
    9 years ago

    1) b=8

    2) I don't know how to do that

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