Question

A triangle has angle of 30 degree, 60 degree, 90 degree. It is dilated by a scale of 3. Give the angle measures of the dilation of the triangle.
Please help me with this question and explain your answer too...

Answer 1

Answer:

No matter what scale factor is dilated, the angles will not change.

My explanation:

A 30-60-90 right triangle (literally pronounced "thirty sixty ninety") is a special type of right triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The triangle is significant because the sides exist in an easy-to-remember ratio: 1:√3:2.

That is to say, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of 3 times the shorter leg. You might also remember it as "X, 2X, and X roots of 3", which is how I remember it, but then you have to remember that 2X is actually the longest side, not X roots of 3.

Which side is which? The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be √3

times as long, and the side opposite the 90 degree angle will be twice as long. The triangle below diagrams this relationship. Remember that the longest side will be opposite the largest angle, and the shortest opposite the smallest angle.

Hopefully this helped, if not HMU and I will try to get you a better answer! :)