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math Problem! Find the missing side length of each right triangle. help please!?

Find the missing side length of each right triangle.

1. a = ____, b = 24, c = 30

2. a = 8, b = ____, c = 10

3. a = 5, b = 3, c = ____

11 Answers

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  • 1 decade ago
    Favorite Answer

    For this, you can use the Pythagorean theorem. for the following explanation, ^ and a number means exponent, said number.

    The Theorem only works with right angle triangles:

    a^2 + b^2 = c^2

    (A squared plus B squared equals C squared)

    c is the hypotenuse. We can re-arrange this formula to solve for the other dimensions.

    c^2 - b^2 = a^2

    c^2 - a^2 = b^2

    Once you've entered all of your numbers solve, then square root whatever you get out of this.

    Oh, and I'm not giving you the answer, as it does you no good if you can't do it yourself.

    Source(s): Math 10 Advanced Placement, Math 20 Pure, Trig is my favourite unit :D
  • 5 years ago

    Well, if you don't get it, than you should talk to the teacher and ask him/her to help you do this; after all, if you have to do this in class and you can't do it, and the teach calls on you, you're screwed. I'll give you a brief run-down of the stuff. In a right triangle, there are 3 sides and 3 angles. One of those angles will always be 90 degrees if it's a right triangle. As for the sides, one of them is always the longest side. That side has a special name: the hypotenuse. The other two sides are called legs. To find a missing side, there's an equation called the Pythagorean theorem: a^2+b^2=c^2, c^2-a^2=b^2, and c^2-b^2=a^2. a and b represent the two legs and c represents the hypotenuse (^2 means multiplied by itself, or squared) Simply stated in 'mathematical language', the squares of the two legs sum up to the square of the hypotenuse. In the first one, you have two legs, or a and b: 4 and 6. Apply a^2+b^2=c^2 to get 4^2+6^2=c^2. 4^2=16 and 6^2=36; the sum of 16 and 36 is 52; the square root of 52 is the hypotenuse or about 7.2. For the 2nd and 3rd, apply c^2-a^2=b^2 or c^2-b^2=a^2 (it doesn't matter which, because the leg you're given can be either a or b) 1) 7.2 cm 2) 12 m 3) 15 ft 4) 53 cm

  • 1 decade ago

    The answer to these questions is based on Pythagorean theorem which states that if we know the length of two sides (side A and side B) of a right-angled triangle, we can calculate the length of the third side (side C)

    using this equation: a (squared) + b (squared) = c (squared)

    so

    1. a (squared) = c(squared) - b(squared)

    a (squared)= (30 x 30) - (24 x 24)

    a (squared)= 900 - 576

    a (squared)= 324

    a = 18 (because the square root of 324 is 18)

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

    b (squared) = (10 x 10) - (8 x 8)

    b (squared) = 36

    b = 6

    3. c (squared) = a (squared) + b (squared)

    c (squared) = (5 x 5) + (3 x 3)

    c (squared) = 25 + 9

    c (squared) = 34

    c = 5.83

  • 1 decade ago

    These questions are all about Pythagoras' theorum.

    Where:

    a^2 + b^2 = c^2

    in a right triangle, where c is the hypotenuse (or the longest side).

    1. a^2 + 24^2 = 30^2

    a^2 + 576= 900

    You want to get a on it's own, so subtract 576 from each side:

    a^2 = 324

    now square root both sides, so a can be on its own:

    a= 18

    2. 8^2 + b^2 = 100

    64 + b^2 = 100

    You want to get b on its own, so subtract 64 from each side:

    b^2 = 36

    now square root both sides, so b can be on its own:

    b= 6

    3. 5^2 + 3^2 = c^2

    25+ 9 =c^2

    34= c^2

    c= The square root of 34.

    Hope this helps! :)

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  • 1 decade ago

    Use the Pythagorean theorem. a2 (squared) + b2= c2. For example number one:

    30^2- 24^2= 324 when you are finding out the value of a or b you need to find the square root rather than square it. C should always be greater in value than b and a. If you find the square root of 324 it equals 18. To test and see if it is correct plug in the numbers in the original formula:

    18^2+24^2= 30^2 that would be: 324+576= 900

  • 1 decade ago

    A right triangle consists of a 90 degree angle with two legs and the hypotenuse. The hypotenuse is the largest side so you will need to use this equation a(squared) + b(squared) = c(squared). So plug in the numbers so c = square root of (a(squared) + b(squared)). Sorry I don't have the symbols on my keyboard.

  • ?
    Lv 6
    1 decade ago

    1...... a^2 + 576 = 900 .......900 - 576 = 324 .... sqrt 324 = a =18

    2...... a ^2 + b^2 = c^2.....64 + b^2 = 100 .....100 - 64 = 36 = b^2......b = 6

    3.....a^2 + b^2 = c^2.....25 + 9 = c^2 = 34 .....c = Sqrt ( 34)

  • 1 decade ago

    Number 1: the square root of 324. Have fun. Goodluck! :]

    But it's hypotenuse. The formula is:

    a(squared)+b(squared)=c(squared)

    Just fill it in, sorry....i'm lazy! :]

  • u must go to connections (aka full time)

    ok i just took that quick check i would explain how to do it but i dont know how but after i take the quiz it gives me the right answers

    PICK WITCH 1 YOU THINK IS A 100 (one of them is a 100 and the other is 2/3)

    18_____4.5

    6______6

    5.8____5.8

    Source(s): 12 yr old (6th grade)
  • 1 decade ago

    a squared + b squared = c squared plug in the numbers do a little algebra and you should be fine

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