Apicture frame is 12 inches long and 9 inches wide. in inches, what is the diagonal length of the picture frame ?

15inches

Step-by-step explanation:

A picture frame is rectangular in nature. Therefore a diagonal will divide the frame into two right angled triangles with the diagonal being the longest side of any of the triangle formed. This diagonal is known as the hypotenuse side of the triangle.

To get the hypotenuse of a triangle, we will use the Pythagoras theorem which States that the sum of the square of the adjacent and opposite side of a triangle is equal to the square of the hypotenuse.

If a picture frame is 12 inches long and 9 inches wide, the diagonal of the frame will the serve as the hypotenuse.

Hyp² = Adj²+opp²

If one of the side is 12inches long and the other 9inches long then we can assign adj = 12inches and opposite = 9inchws

Hyp² = 12²+9²

Hyp² = 144+81

Hyp² = 225

Hyp = √225

Hypotenuse = 15inches

Since the hypotenuse is 15inches therefore the diagonal is 15inches

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

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step-by-step explanation: