Question

All three sides of a right triangle are integers and one side has a length of 11 units. Area of the triangle in square units lies between:

1) 1 and 100
2) 100 and 200
3) 200 and 300
4) More than 300

Answer 1

Since our triangle is right angle all the sides will form a Pythagorean triplet
that is a^2 +b^2=c^2

We know one side is 11
There is only one pythagorean triplet with 11 that is 11,60,61
since hypotenuse is largest side 61 the other two sides are 11 and 60
Thus the area is 11×60/2
=330
Answer is (4) more than 300