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 #7/8 #, #3/5 #, and #4 #, respectively. What is the rectangle's area?

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Answer 1 · 2016-05-15T06:56:04

Rectangle's area is #1.803#

As side A is hypotenuse and has length #7/8# and C has length #3/4#, using Pythagoras theorem

Length of side B is #sqrt((7/8)^2-(3/4)^2)#

= #sqrt(49/64-9/16)=sqrt(49/64-36/64)=sqrt(13)/8#

Now one side of rectangle is #4# and side B is #sqrt(13)/8#

Hence its area is #sqrt(13)/8xx4=sqrt13/2=1.803#