ABCD is a rectangle. Rectangle A B C D is shown. All angles are right angles. The length of A D is 5 and the length of D C is 12. Use the diagram to answer the questions. The length of AB is 12 . The length of BC is 5 . The length of AC is .

I used Pythagorean theorem to solve this problem. As DC and AD is 12 and 5, you would do 12²+5²= c². 12²= 144 and 5²= 25. 144+25= 169. It doesn't end there. Do the square root of 169 ---> √169=13.

Answer Link

nuhulawal20 nuhulawal20 · Answer 2 · 2022-05-05T15:46:59+02:00

Given that ABCD is a rectangle, if a diagonal line cuts from A to C make a two equal right angled triangles, the hypotenuse which is the length of AC is 13.

What is a rectangle?

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

What is Pythagorean theorem?

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c = √( a² + b² )

Given the data in the question;

Length AB and DC = 12
Length AD and BC = 5

Let line AC be the hypotenuse as it cuts the rectangle into two equal right angled triangle.

From Pythagorean theorem.

c = √( a² + b² )

AC = √( AB² + BC² )

AC = √( 12² + 5² )

AC = √( 144 + 15 )

AC = √169

AC = 13

Therefore, given that ABCD is a rectangle, if a diagonal line cuts from A to C make a two equal right angled triangles, the hypotenuse which is the length of AC is 13.

Learn more about Pythagorean theorem here: https://brainly.com/question/343682

#SPJ2