If a right triangle has sides of length a, b and c and if c is the largest, then it is called the "hypotenuse" and its length is the square root of the sum of the squares of the lengths of the shorter sides (a and b). assume that variables a and b have been declared as doubles and that a and bcontain the lengths of the shorter sides of a right triangle: write an expression for the length of the hypotenuse.

Assuming this is for a programming language like c++, then the expression might look like

c = sqrt(a*a + b*b)

or you can use the pow function (short for power function)

c = sqrt( pow(a,2) + pow(b,2) )

writing "pow(a,2)" means "a^2"; similarly for b as well.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.