In a right-angled triangle, the leg is 14 and the opposite angle of 30 find the perimeter of the triangle.

By the property of the leg, which lies opposite the angle of 30 °, we find the hypotenuse. The hypotenuse is equal to two legs, that is, 28. To find the second leg, we use the Pythagorean theorem:
√ (28² – 14²) = √ (784 – 196) = √588 ~ 24.25
All sides are known, we find the perimeter of the triangle:
14 + 24.25 + 28 = 66.25
Answer: The perimeter is 66.25.



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