the value of x is 90 and the value of y is 30 for the special right triangles.
The first set of the special right triangle is:
30√3 : x : 60√3
Using the pythagoras theorem, we get that:
30√3² + x² = 60√3²
Simplify the values:
2700 + x² = 10,800
x² = 10,800 - 2700
x² = 8100
x = √8100
x = 90
The second set of the special right triangle is:
y : y : 30√2
Using the pythagoras theorem, we get that:
y² + y² = 30√2²
2 y² = 900 × 2
y² = 900
y = √ 900
y = 30
Therefore, we get that, the value of x is 90 and the value of y is 30 for the special right triangles.
Learn more about right triangles here:
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