Question

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answer 1

x=19, y=
`19√(3)`

Explanation:

This triangle is a 30-60-90 triangle.

This means the hypotenuse (38) is double the short leg (x)

x=19

Then use the pythagorean theorem

a^2+b^2=c^2

19^2+y^2=38^2

361+y^2=1444

Subtract 361 from both sides

y^2=1083

put it in square roots and simplify

`√(1083) =19√(3)`

y=
`19√(3)`

Answer 2

To solve this problem:

⇒ need to use a special right triangle theorem:

Let's consider the information given:

⇒ one angle is 30 degrees

⇒ one angle marked with a little square signifies that it is 90

degrees

⇒ (all the angles added up are 180 degrees) so the last angle is

60 degrees

Therefore we have a '30-60-90' triangle which states:

• the side opposite the 30-degree angle

⇒ half the length of the hypotenuse (longest side of the triangle)

⇒ x = 38/2 = 19

• the side adjacent to the 30-degree angle

⇒ is the square root of 3 divided by 2 of the hypotenuse

⇒ y =
`(√(3) )/(2) *38=19√(3)`

Therefore:

x = 19

y =
`19√(3)`

Hope that helps!