Question

two side of a right tringle measure 2 unit and 4 units.


What is the area of the square that shares a side with the third side of the triangle?

Answer 1

Step-by-step explanation:

In triangle let a=2 and b=4 c=?

In right angle triangle

by pythagoras theorem

a²+b²=c²

2²+4²=c²

4+16=c²

c²=20

And a square shares a side with third side so

side of square is equal to third side of triangle i.e. c

area of square=side×side

=c×c

=c²

=20 units