Question

Please help me on this problem!

Answer 1

A = 98 sq. meters

Explanation:

angle in a 45 - 45 - 90 right triangle the hypotenuse = leg(
`√(2)` ).

So hypotenuse is opposite the 90° angle = 14
`√(2)`

hypotenuse = leg(
`√(2)` )

14
`√(2)` = x(
`√(2)` )

14
`√(2)` /
`√(2)` = x

14 = x

or

a² + b² = c²

x² + x² = (14
`√(2)` )² Both of the legs in this type of triangle are =

2x² = 196 (
`√(4)` )

2x² = 196(2)

2x² = 392

x² = 196

x =
`√(196)`

x = 14

A = 1/2bh

A = .5(14)(14)

A = 98 sq. meters