Aright triangle has the hypotenuse c =12 cm and an angle a= 30degree. find the length of side a, which is opposite angle a.

Based on the information you have given, this triangle must be a 30-60-90 because it’s right (90 degrees) and has an angle of 30 degrees. For a 30-60-90 triangle, the side lengths are as follows: hypotenuse=2x (twice as much as the shortest leg which is located across from the 30 degree angle), the shortest leg=x, and the side across from the 60 degree angle (the longer side)=x √3.
So, if the hypotenuse=12 cm and angle A=30 degrees, then that means side A must be 6 cm
12=2x and solve for x
6=x

Ibelieve the answer is c

In a right-angled triangle: 1- the hypotenuse is the longest side2- we can apply pythagorean rule which states that: (hypotenuse)^2 = (side1)^2 + (side2)^2for the given triangle,longest side is 15 cm  side1 = 9 cmside2 is 12 cm  to check whether the triangle is right-angled or not,compare (15)^2 to the summation of (9)^2 and (12)^in other words, compare 225 to the summation of 81 and 144if they are both equal, then the triangle is right-angles, otherwise, it is not.you haven't provided the diagram showing her work, so i cannot tell the choice. however, apply my explanation to the question you have.