It has been discovered that a certain cornfield created in the 18th-century was a right triangle. one leg of the triangle was formed by a 210 ft long walking trail. the hypotenuse of the triangle was 90 ft longer than the other leg. what were the dimensions of the cornfield?

Explanation:

Given that,

Let ABC is a triangle such that AB is perpendicular distance, BC is base and AC is the hypotenuse of triangle.

Let AB = 210 ft

AC = 90 + x

BC = x

To find :

The dimensions of the cornfield.

Solution :

Pythagoras theorem is used to find the value of x. It is given by :

On solving the above equation we find the value of x, x = 200 ft

So, BC = 200 ft

AC = 90 + 200 = 290 ft

So, the length, base and the hypotenuse of the triangle is 210 ft, 200 ft and 290 ft respectively.

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min