Question

Help me with this please

Answer 1

x ≈ 8.5

Explanation:

You have a 45- 45 -90 right triangle. The hypotenuse = 12, the legs = x

a² + b² = c²

x² + x² = 12²

2x² = 144

x² = 72

x =
`√(72)`

x = 8.485 ; x≈ 8.5

or in a a 45- 45 -90 right triangle the hypotenus = the leg(
`√(2)` )

You are given the hypotenuse = 12. Finding x value

hypotenus = leg (
`√(2)`)

12 = x(
`√(2)` )

12/
`√(2)` = x

8.485 ≈ x

8.5 ≈ x

Answer 2

a - 8.5ft

Explanation:

() Using trig ratio

sin(45) = x/12

12 * sin(45) = x

x = 8.5

() Using Pythagorean theorem

*special right triangle*

Since x *
`√(2)` = 12

to find the legs

x =
`(12)/(√(2))`

x = 8.5