Question

Help please, quickly!!

What is the exact area of the triangle? (Leave in radical terms)

What is the area of the triangle to the nearest hundredth of a square in?

Answer 1

`(25√(3) )/(2)`

Explanation:

30-60-90 Triangle.

y → x → 10

y → y
`√(3)` → 2y

2y = 10

y = 5

Side lengths of the triangle are 5 and 5√3.

Area =
`(1)/(2) bh`

=
`(1)/(2) (5)(5√(3)) \\ = (25)/(2) *√(3) = (25√(3) )/(2)`