Question

Suppose the side length of a square A is 12cm and the side lengh of square B is 10cm. What is the area of square c If the three squares form a right triangle

Answer 1

Explanation:

If the sides of square a and b are the legs of the right triangle, then we can use the quadratic equation to find the hypotenuse, which would be made with square c's length.

a^2 + b^2 = c^2

10^2 + 12^2 = c^2

100 + 144 = c^2

244 = c^2

`√(244)` = c

Now since this is the side length, we then square that number to get the area.

`√(244)` ^ 2 = 244 cm