Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.Given =5√6 Clue : IT?
Update:
Hint they gave me: it has the number 3 to on the answer
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Hint they gave me: it has the number 3 to on the answer
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Answers & Comments
Let the base be x.
The height will also be x since this is an isosceles triangle.
This is also a right triangle, so we can apply Pythagoras Theorem:
x^2 + x^2 = (5sqrt(6))^2
2x^2 = (25)(6)
x^2 = (25)(3)
x = sqrt((25)(3))
x = 5sqrt(3)
Hence, leg of triangle is 5sqrt(3).