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

Guest Mar 18, 2014

#1**0 **

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

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.

Melody Mar 18, 2014

#2**+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..

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

What

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

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..

CPhill Mar 18, 2014

#4**0 **

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. :

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

or

sqrt(4

Just as Chris and Bob said. :

Melody Mar 18, 2014