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Find the value of x and y.

Find the value of x and y.-example-1
User Munda
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1 Answer

11 votes
11 votes

Answer:

a) x = 12, y = 24

Explanation:

Let the leftmost triangle be called A

And the rightmost triangle be called B

Triangle A) Recall that the hypotenuse in a right isosceles triangle is the length of a leg multiplied by √2

To find x:

  • hypotenuse = leg * √2
  • 12√2 = x * √2
  • 12 = x
  • x = 12

Triangle B) Recall that the leg opposite to the 30° angle in a 30°-60°-90° triangle is always half the hypotenuse

Since we know that the leg opposite to 30° is 12 ( which is x), and the hypotenuse is y, we can solve for y

Solve for y:

  • hypotenuse = 2 * leg(opposite to 30°)
  • y = 2 * x
  • y = 2 * 12
  • y = 24

x = 12, y = 24

-Chetan K

User Avimak
by
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