In this type of right triangle, the sides corresponding to the angles 30°60°90°Therefore, think of the ratios of 345 as variables followed by x (3x, 4x, and 5x) Combine like terms and set the equation equal to 180, the amt of degrees in a triangle 123x = 180 Now, divide to isolate for x (180/12) = 15 , so x = 15 Now, substitute x for 15 in your variables 3x,Answer If 2 triangles are similar, their areas are the square of that similarity ratio (scale factor) For instance if the similarity ratio of 2 triangles is $$\frac 3 4 $$ , then their areas have a ratio of $$\frac {3^2}{ 4^2} = \frac {9}{16} $$ Let's look at the two similar triangles below to see this rule in action
The Golden Ratio In Amalgam Of 1 2 5 Triangle And 3 4 5 Triangle Download Scientific Diagram