Answer :
The required perimeter of the triangle is 23.7 inches.
How to calculate the perimeter?
Consider the provided measure 30,60, and 90
The ratio of sides in 30-60-90 is:
The side opposite to the 30° angle is x
The side opposite to the 60° angle is x × √3
The side opposite to the 90° angle is 2x
The hypotenuse of the triangle measures 10 inches.
The side opposite the 90° is known as the hypotenuse.
Thus, the side opposite the 30° angle is 5 inches. The side opposite to the 60° angle is x × √3 = 5×√3 = 8.7 inches
The perimeter is the sum of all sides:
= 5+10+8.7=23.7 inches
Hence, the required perimeter is 23.7 inches.
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