Find the value of x and y in the diagram below. A. X= 9/2, y = 9
B. x = 18, y = 9-13
C. X= 9/3, y = 4.5
D. = 6/3, y = 3/5

D) x=6√3, y=3√3

Step-by-step explanation:

Given both triangles are 30-60-90 triangles, this means that the length of y will be 9/√3=√81/√3=√(81/3)=√27=3√3

This also means that x will be twice the length of y which means x=2y=2(3√3)=6√3

This means that the correct answer is D) x=6√3, y=3√3

Refer to the diagram below to understand where I got these lengths.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

false

step-by-step explanation:

the reason i say this is because for a certain length of sides you can pick any two and the length is wither equal or greater than the third side and in this case it's not.

3 + 5 = 8

8 is smaller than 9 which is the third side.

hope this : )