If the triangles are similar, the proportion of the legs on the left to the legs on the right will be equal. This proportion would look like:
(You needed to combine the orange segment and the yellow segment to find the total length of the large triangle).
Now, cross multiply and solve for x:
28x+14=30x
<em>*Subtract 28x from both sides to isolate the variable*</em>
14=2x
<em>*Divide both sides by 2*</em>
7=x
Hope this helps!!
Answer:
a is adjacent, b is opposite, c is the hypotenuse
Step-by-step explanation:
A right angled triangle must contain the opposite, the adjacent and the hypotenuse. The opposite is the side that directly faces the angle of interest. The adjacent is the side that is close to the angle of interest.
Given that the angle Y is positioned between X and Z, the point b becomes the opposite of Y. The point a becomes adjacent to angle Y while c remains the hypotenuse of the right angled triangle.
The image below typifies the explanation given above. It shows the relationship between the three sides of the right angled triangle in detail.
