20 points (looking for the reasoning) Jayden and Sheridan both tried to find the missing side of the right triangle.
A right triangle is shown. One leg is labeled as 7 centimeters. The hypotenuse is labeled as 13 centimeters.

Jayden's Work Sheridan's Work
a2 + b2 = c2 a2 + b2 = c2
72 + 132 = c2 72 + b2 = 132
49 + 169 = c2 49 + b2 = 169
218 = c2 b2 = 120
Square root 218 equals square root c squared. Square root b squared equals square root 120.
14.76 ≈ c b ≈ 10.95

Is either of them correct? Explain your reasoning.

Respuesta :

Answer:

Step-by-step explanation:The problem is very hard to read.  When using exponents, please add the "^" in front.  For example, is 132 actually 132, or is it 13^2?  The right triangle is not shown, so we really don't know which is the hypotenuse. Also be carefull with spacing.  Making some assumptions, here is how the answer might look:

Both have the correct formula:  a^2 + b^2 = c^2, assuming c is the hypotenuse.

If c is the hypotenuse, then the expression should be:

7^2 + b^2 = 13^2, or

49 + b^2 = 169

I like Sheridan's answer.  So let's continue:

49 + b^2 = 169

b^2 = 169-49

b^2 = 120

b = 10.954 . . .

Yep, I'm on Sheridan's side.  [That is, unless 72 is 72 and not 7^2, etc.]