The drawing below shows three squares joined at their vertices to a form a right triangle - What is the area of the shaded square?

enter image source here

2 Answers
May 10, 2018

This is the basis for Pythagoras

#3529color(white)(.) m^2#

Explanation:

Area of the shaded part is #35^2+48^2 = 3529#

But this is area so we have #3529color(white)(.) m^2#

May 10, 2018

3529 #m^2#

Explanation:

The top edge of the shaded square is the hypotenuse of a right angled triangle with sides 48 m and 35 m.

#48^2+35^2=3529#

This is the area of the shaded square.