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

July 24, 2021 | education

| 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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