# A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #4 #, #6 #, and #9 #, respectively. What is the rectangle's area?

##### 1 Answer

May 21, 2016

The given configuration can not exist. Please correct and re-submit.

#### Explanation:

The question claims that side A is the hypotenuse with a length of

The length of the hypotenuse of a right triangle must be greater than the length of either of the other sides.

Possible valid respective lengths:

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Steps in solving this type of problem.

- Use the Pythagorean Theorem to find the length of side B:
#sqrt(A^2-C^2)# - Rectangle's area
#=B xx "rectangle's side"#