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The triangle on the right side is a 30-60-90 right triangle.
This type of right triangle has special rules for finding the sides and hypotenuse.
hyp = 2 * short leg
long leg = sqrt3 * short leg

From the triangle on the left, 45-45-90 right triangle, we get that the height is 5. This becomes the short leg of the triangle on the right. To find x, the hypotenuse just multiply the short leg(5) by 2.
Hyp = 10

The value of x will be equal to 10 units in the given figure.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

First, we will find the height of the triangle:-

tan 45 = P  ÷  5

1  =   P  ÷  5

P   =   5  

The value of x will be calculated as:-

Sin 30 = P  ÷  x

0.5   =   5  ÷  x

x   =   10 units  

Therefore the value of x will be equal to 10 units in the given figure.

To know more about Trigonometry follow

https://brainly.com/question/24349828

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