Question

I NEED HELP ASAP PLEASE

Answer 1

Explanation

Use Pythagorean Theorem:

8² + b² = (2√19)²

64 + b² = 4 × 19

64 + b² = 76

64 -64 + b² = 76 -64

b² = 12

√b² = √12

b = √4 · 3

b = 2√3

This is the height - use in the area formula:

1/2(8)(2√3)

4(2√3)

8√3

Answer 2

Using the Pythagorean Theorem to find the height of this right triangle:

`{h}^(2) + {8}^(2) = {(2 √(19) )}^(2)`

`{h}^(2) + 64 = 76`

`{h}^(2) = 12`

`h = 2 √(3)`

From this, the area of this right triangle is:

`(1)/(2) (8)(2 √(3) ) = 8 √(3)`

A is the correct answer.