Question

PLEASE HELP 35 POINTS
Two sides of a right triangle measure 777 units and 333 units.

Answer 1

Answer:
58

Explanation:

We can use the Pythagorean theorem to find the area of the square for the third side.

The equation for the Pythagorean theorem is

a^2 + b^2 = c^2

where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.

a^2 + b^2 = c^2

3^2+7^2=x^2

9+49=x^2

58=x^2

The area of the square for the third side of the triangle is 58 units^2 squared.

Answer 2

58 units squared

Explanation:

**I'm doing the question with the 7 by 3 triangle in the picture, not 777 by 333**

Pythagorean Theorem:
`a^2+b^2=c^2`, where c is the length of the hypotenuse.

The given sides are legs, therefore,
`3^2+7^2=c^2`

`9+49=c^2; 58=c^2; c=√(58)`

c is also one of the sides of the square. A square's area is one of the sides' lengths squared, so:

`(√(58)) ^(2)=58`