Question

A courtyard in the shape of a right triangle is set in the middle of three square office buildings, with one office building along each side. Which statement is true about the three office buildings? Math item stem image The area of Building CC minus the area of Building BB equals the area of Building AA. The area of Building BB minus the area of Building CC is equal to the area of Building AA. The area of Building CC minus the area of Building AA is equal to twice the area of Building BB. The area of Building BB plus the area of Building CC is equal to twice the area of Building AA.

Answer 1

area of cc - area of bb = area of aa first choice

Answer 2

A:Area of building CC minus the area of building BB equals to area of building AA.

Explanation:

We are given that a courtyard is in the shape of right triangle .

One office building along each side of courtyard

We have to find the true statement about the three office.

Let A, B and C are sides of three square buildings

Area of square=
`side* side`

Area of one building =
`A^2`

Area of second building =
`B^2`

Area of third building=
`C^2`

We know that Pythagorous theorem

`(Hypotenuse)^2=(Base)^2+(Perpendicular side )^2`

`A^2+B^2=C^2`

`A^2=C^2-B^2`

Hence, option A is true.

Answer:A:Area of building CC minus the area of building BB equals to area of building AA.