In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?

= 15.556 in

Step-by-step explanation:

Since this is a 45-45-90 triangle, we can tell that;

One of the theorems of geometry, the Isosceles Right Triangle Theorem, says that the hypotenuse is √2 times the length of a leg.

Therefore;

hypotenuse = leg × √2

If we take hypotenuse as x

Since the leg is 11;

Then; x = 11√2

x = 11/√2

x = 15.556 in

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .