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marishachu [46]
2 years ago
11

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

Mathematics
2 answers:
sergejj [24]2 years ago
6 0

Answer:

x=19, y=19\sqrt{3}

Step-by-step 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

\sqrt{1083}  =19\sqrt{3}

y=19\sqrt{3}

Pepsi [2]2 years ago
5 0

<u>To solve this problem</u>:

  ⇒ need to use a special right triangle theorem:

<u>Let's consider the information given</u>:

   ⇒ one angle is <u>30 degrees</u>

      ⇒ one angle marked with a little square signifies that it is <u>90 </u>

          <u>degrees</u>

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

               <u>60 degrees</u>

<u>Therefore we have a '30-60-90' triangle which states</u>:

  • 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 = \frac{\sqrt{3} }{2} *38=19\sqrt{3}

<u>Therefore</u>:

    <u>x = 19</u>

    <u>y = </u>19\sqrt{3}

Hope that helps!

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