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Using the technique in the model above, find the missing side in this 30°-60°-90° right triangle.

Short = 5 , hypotenuse = 10

Long =

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. R class=
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. R class=

Verified Answer :

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Answer:

\(x=5\sqrt{3}\)

Step-by-step explanation:

Given is a right triangle with angles as 30, 60 and 90 degrees.

The longer leg is opposite 60 degrees. let this be equal to x.

Short leg =5

Hypotenuse =10

Use Pythagorean theorem for right triangles as

\(5^2+x^2=10^2\)

Simplifying we get

\(x^2=100-25=75\\x=\sqrt{75} =5\sqrt{3}\)