We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
492
4
avatar
what is the length of side c of a right triangle when a and b equal 3 and 4
 Mar 18, 2014
 #1
avatar+105448 
0
Adam Doucette333:

what is the length of side c of a right triangle when a and b equal 3 and 4



There is not enough information here. you need something else like the angle beteeen the 3 and 4 sides.
 Mar 18, 2014
 #2
avatar+104641 
+5
Melody is exactly correct.......we would need more info to obtain a specific answer......

However........I'm going to change your question slightly to this one:

What could be the length of side c of a right triangle when a and b equal 3 and 4??

Well, by something known as the "triangle inequality," the remaining side is either greater than 1, or less than 7.

Then....either 4 is the longest side (the hypotenuse), or it isn't.

Let's suppose that it is......then, by the Pythagorean Theorem, the remaining side is...... SQRT(4^2 - 3^2) = SQRT(16 - 9) = SQRT(7) ........ which is greater than 1

So, if we're not too picky about whether a side is an integer or not, this could be one solution.

Now, let's suppose that 4 isn't the longest side. Then, again by the "P" Theorem, the remaining side is..... SQRT(3^2 + 4^2) = SQRT(9 + 16) = SQRT(25) = 5.........which is less than 7

So, we have two possible answers.......one right triangle has sides of SQRT(7), 3 and 4, where 4 is the hypotenuse. And the other triangle has sides of 3, 4 and 5, where 5 is the hypotenuse!!

I'm not sure which applies to your particular situation, but exploring possibilities is sometimes more interesting than figuring out "exact" things....

Hope this helps..
 Mar 18, 2014
 #3
avatar
0
the ans is 5 if side c is opposite from the right angle.
 Mar 18, 2014
 #4
avatar+105448 
0
Melody:
Adam Doucette333:

what is the length of side c of a right triangle when a and b equal 3 and 4



There is not enough information here. you need something else like the angle beteeen the 3 and 4 sides.



I didn't see the word 'right' there before. Sorry.

There are only 2 possible answers
sqrt(3 2+4 4) = sqrt(25) = 5 units
or
sqrt(4 2-3 2) = sqrt(16-9) = sqrt(7) units

Just as Chris and Bob said. :
 Mar 18, 2014

13 Online Users

avatar
avatar