# 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 #13 #, #4 #, and #3 #, respectively. What is the rectangle's area?

##### 1 Answer

Apr 11, 2016

#### Explanation:

Consider the diagram

We can find the length of

#color(blue)(a^2+b^2=c^2#

Where,

#aand b# are the right-containing sides and#c# is the Hypotenuse (longest side of a right-triangle)

But,

In this case,

So,

Now we need to find the area of the rectangle

Area=

Where,

#l=l# #eng# #th,b=breadth#

#color(violet)(l=3sqrt17,b=3#