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anonymous
 one year ago
Use the triangle at the right. Find the length of the missing side.
Show your work
Did i do the first one right? I don't want to do the second one wrong too.
1.a = 16, b = 63 2. b = 2.1, c = 2.9
16^2 =256, 63^2=3,969
256+3969 = 4225 now we need to find the square root by separating the 4225 into two separate numbers square root of 42 is 6 now find the largest root in 42. Which is 36.
6*6 = 36 and the square of 25 is 5 add the roots
This give me the answer for c length. 6 and 5 is 65.
a=256 b=3969 and c = 65
anonymous
 one year ago
Use the triangle at the right. Find the length of the missing side. Show your work Did i do the first one right? I don't want to do the second one wrong too. 1.a = 16, b = 63 2. b = 2.1, c = 2.9 16^2 =256, 63^2=3,969 256+3969 = 4225 now we need to find the square root by separating the 4225 into two separate numbers square root of 42 is 6 now find the largest root in 42. Which is 36. 6*6 = 36 and the square of 25 is 5 add the roots This give me the answer for c length. 6 and 5 is 65. a=256 b=3969 and c = 65

This Question is Closed

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2Do you have a picture or other description of the triangle you are dealing with in problem 1 and/or problem 2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yup you need a picture

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The picture probably wouldn't help it's just a right triangle but okay

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2this picture will definitely help, because I would have thought that b is the hypotenuse

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2i mean in question 1 i would have thought so, but this picture gives me that c=hypotenuse in both cases, and I know it is a right triangle

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2I want to correct you though. The set up is a little different, that is 1. Here is the rule. A right triangle with sides a, b, c (where the hypotenuse is side c), must satisfy the following statement: a²+b²=c²

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2this statement is known as the pythagorean theorem.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2Now, you are given your two smaller legs a and b are 16 and 63 (respectively). And you are missing the hypotenuse, so this is what you would do. (16)² + (63)² = c²

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2then you simplify the left hand side, and solve for c (just by talking the square root of both sides)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So i had to square c?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Take the square root of a and b?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2(16)² + (63)² = c² 4225 = c² then do this: \(\sqrt{4225}\) = \(\sqrt{{\rm c}^2}\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2this way you are able to solve for c. (normally the square root will give you the ±, as you know, but in this case since distance or sidelength can not be negative, you diregard any negative solutions)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright. is c 65? @SolomonZelman

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Did i do the problem right?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2i wrote it all out and still doesn't take that much space and time..... ok, now question 2...

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2oh, I deleted that....  a²+b²=c² 16²+63²=c² 4225=c² √4225 = √c² c=65  reposted it.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2ok, in question 2, you are given c=2.9 b=2.1

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2can you plug in this information into the a²+b²=c² ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2but, you are given the c and b, so you can g ahead and plug in 2.9 for c, and 2.1 for b.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2The pythagorean theorem is: a²+b²=c² where c is the hypotenuse and a & b are two legs. you are given that your c (which is hypotenuse as well) is 2.9 and you are given that your b is 2.1 (your missing side is a)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2please take a shot to plug in your values (into a²+b²=c²)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2your c is given, but a is not

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2it is like this: a² + (2.1)² = (2.9)²

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2a² + (2.1)² = (2.9)²

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wifi is bad okay a^2 +(2.1)^2 =( 2.9)^2

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2because you are given: c=2.9 b=2.1 so, the missing side is a. Our theorem is: a² + b² = c² so lets plug in everything plugging 2.9 for c plugging 2.1 for b you get: a² + (2.1)² = (2.9)²

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2ok now solve for a

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do i add the c value or divide or do it the same thing i did in my last problem.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@SolomonZelman you there?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2you first calculate the values of (2.1)² and (2.9)²

anonymous
 one year ago
Best ResponseYou've already chosen the best response.04.41= 8.41. Do i subtract next?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2a² + (2.1)² = (2.9)² without a calculator: 21•20=420 21•21=420+21=441 so 2.1² = 4.41 30•30=900 30•29=90030=870 29•29=87029=841 so 2.9²=8.41

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2just demonstrating another technique.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2anyway a² + (2.1)² = (2.9)² a² + 4.41 = 8.41 yes you subtract 4.41 from both sides

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2a² + 4.41 \(\small \color{red}{4.41}\)= 8.41\(\small \color{red}{4.41}\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2and from this u get?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2yes, or just 4 :)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2so, a²=4 correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah it looks correct i don't think it can be factored anymore

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2no, there is no factoring here:) so we got a²=4 what do you think your next (and final) step is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0putting them together like 2.1^2+2.9^2= 4^2

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2u just take the square root of both sides \(a^2=4\) \(\color{red}{\sqrt{\color{black}{a^2}}}=\color{red}{\sqrt{\color{black}{4} }}\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2a square root of a 4 is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright is there anything else?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.2no, you found the missing side in both of the problems.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright thanks for your help :)
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