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Answer:
3) y = √10
4) x = 5√2
Step-by-step 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.
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3) 1·k : 1·k : k√2 = √5 : √5 : y
Clearly, k = √5, so ...
y = (√5)(√2)
y = √10
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4) k : k : k√2 = x : x : 10
k = 10/√2 = (5√2)/2
k = x = (5√2)/2
