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Its worth 25 please help and show work

Its worth 25 please help and show work-example-1

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Answer:

3) y = √10

4) x = 5√2

Explanation:

The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...

1 : 1 : √2

So, for some multiplier k, they can be made to match the sides in your triangles.

__

3) 1·k : 1·k : k√2 = √5 : √5 : y

Clearly, k = √5, so ...

y = (√5)(√2)

y = √10

__

4) k : k : k√2 = x : x : 10

k = 10/√2 = (5√2)/2

k = x = (5√2)/2

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