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 $5$ , respectively. What is the rectangle's area?

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Answer 1 · 2016-03-20T05:58:09

Area of rectangle is $61.85$ sq. units.

As in the right angled triangle, $A$ is hypotenuse of length $13$ and $C$ is $4$ , side $B=sqrt(13^2-4^2)=sqrt(169-16)=sqrt153=12.37$

As the other side of rectangle at side $B$ is $5$ , area of rectangle is $12.37xx5=61.85$

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 13 , 4 4 , and 5 5 , respectively. What is the rectangle's area?