Given 10 is a leg of a right triangle and 11 is the hypotenuse, what is the length of the other leg of the right triangle? Round
Vou answer to the nearest hundredi derinals

Given 10 is a leg of a right triangle and 11 is the hypotenuse what is the length of the other leg of the right triangle Round Vou answer to the nearest hundred class=

Respuesta :

Answer:

The length of other leg is 4.58

Step-by-step explanation:

It is given that:

One leg of triangle = 10

Hypotenuse = 11

Using Pythagorean theorem,

[tex]a^2+b^2=c^2\\(10)^2 + b^2 = (11)^2\\100+b^2 = 121 \\b^2 = 121-100 \\b^2 = 21[/tex]

Taking square root on both sides

[tex]\sqrt{b^2}=\sqrt{21}\\b=4.58[/tex]

Therefore,

The length of other leg is 4.58

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