Question

What is the area of square C if A is 35 cm and b is 28 cm?

Answer 1

`2009 cm^2`

Explanation:

Since the hypotenuse (longest side) of the triangle is also one of the sides of the square C, we can find it, and square it to find the area.

The sides of the triangle are made up by squares A and B. The height of the triangle will be 35, and the base will be 28. Now, we can use the Pythagorean Theorem to find the hypotenuse.

Pythagorean Theorem: `a^2+b^2=c^2`
`35^2+28^2=c^2`
`1225+784=c^2`
`2009=c^2`
`c~~44.822`

The hypotenuse, which is also one of the sides of the square, is about 44.822 cm. We can square this to find the area.

`(44.822cm)^2~~2009 cm^2`

Area of the square`~~2009cm^2`