Fix you some claculations?
By the Pythagorean Theorem:
h^2=x^2+y^2
Which just means that the hypotenuse (longest side) squared is equal to the sum of the side lengths squared...in this case:
h^2=5^2+13^2
h^2=25+169
h^2=194
h=√194
h≈13.93 in (to nearest hundredth of an inch)
Mckensey is correct as shown above.
Cara's mistake was in letting c be a side length instead of the length of the hypotenuse...
Answer:
Step-by-step explanation:
The diagonal of a square is the same thing as the hypotenuse of a right triangle. This right triangle is a 45-45-90 since the sides are made up of sides of a square which all measure the same length, x.
Using Pythagorean's Theorem,
and
and
and taking the square root of both sides gives us that
which simplifies to
I'm assuming that your teacher has told you about rationalizing the denominator when you've got a radical there, so we will do that by multiplying by 
:
which gives us
