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Find the value of x and y. ( ANSWER NEEDS TO BE IN REDUCED RADICAL FORM )

Find the value of x and y. ( ANSWER NEEDS TO BE IN REDUCED RADICAL FORM )-example-1
User Lswim
by
8.5k points

1 Answer

6 votes

Answer:

Part 1)
y=6\ units

Part 2)
x=3\ units

Explanation:

see the attached figure with letters to better understand the problem

In the right triangle ABE

we have that

AE=BE

so

Is a 45°-90°-45° triangle


cos(45\°)=(√(2))/(2)


cos(45\°)=(3√(2))/(y)

so


(√(2))/(2)=(3√(2))/(y)


y=6\ units

In the right triangle EBC

we have that

Is a 45°-90°-45° triangle


sin(45\°)=(√(2))/(2)


sin(45\°)=(x)/(3√(2))


(x)/(3√(2))=(√(2))/(2)


x=3\ units

Find the value of x and y. ( ANSWER NEEDS TO BE IN REDUCED RADICAL FORM )-example-1
User KostasC
by
8.4k points

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