Analyze the diagram below and complete the instructions that follow.
find the value of x and the value of y.
a. x=9, y=18√2
b. x=18, y=18
c. x=9√2, y=18√2
d. x=9√3, y=18

D. x = 9√3 and y = 18

Step-by-step explanation:

This is an isosceles triangle divided into two equal parts.

Step 1: 18 can be divided into 2 parts which makes the base of both triangles 9.

Step 2: Find the value of x

The value of x can be found through the tan rule.

tan (angle) = opposite/adjacent

tan (60) = x/9

√3 = x/9

x = √3 x 9

x = 9√3

Step 3: Find the value of y

The value of y can be found through the cos rule.

Cos (angle) = adjacent/hypotenuse

Cos (60) = 9/y

1/2 = 9/y

y = 18

Therefore, the correct answer is D; x = 9√3 and y = 18

!!

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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