In a right triangle, length of the other leg is equals to [tex]2\sqrt{11}units[/tex].
What is right triangle?
" Right triangle is defined as the 2-dimensional closed figure with three sides , three vertices, and three angles enclosed in it with one of the angle of measure 90°."
Formula used
Pythagoras theorem
(Hypotenuse)² = (Length of leg1)² + (Length of leg2)²
According to the question,
In a right triangle,
Length of leg 1 = 10 units
Hypotenuse = 12units
'x' represents the length of leg2
Substitute the value in the Pythagoras theorem we get,
[tex](12)^{2}= (10)^{2} + x^{2} \\\\\implies 144 = 100 +x^{2} \\\\\implies x^{2} = 144-100\\\\\implies x = \sqrt{44\\}\\ \\\implies x = 2\sqrt{11}units[/tex]
Hence, in a right triangle, length of the other leg is equals to [tex]2\sqrt{11}units[/tex].
Learn more about right triangle here
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