If the sin of angle x is 4 over 5, and the triangle was dilated to be two times as big as the original, what would be the value of the sin of x for the dilated triangle? Hint: Use the slash symbol ( / ) to represent the fraction bar and enter the fraction with no spaces.

Question

yanasidlinskiy · Answer

Welcome to OpenStudy!! The dilated triangle is similar to the original one. So, the ratio of corresponding sides will remain the same. By definition of similar triangles, corresponding sides are in proportion. If it remains the same would it still be 4/5.

yanasidlinskiy · Answer

When the triangle is dilated, the 4 side jumps up to 8 and the 5 side jumps up to 10. Yet, the ration of 8/10 is still equal to 4/5

yanasidlinskiy · Answer

At the core of our discussion, Here is a Theorem which ensures that the two triangles are similar.