Question

one leg of a right triangle is 10 units, and it’s hypotenuse is 12 units. what is the length of the other leg?

Answer 1

The length of other leg of triangle is 2√11 units.

Step-by-step explanation:

Given,

One leg = a = 10 units

Hypotenuse = b = 12 units

Let,

Other leg = c

As the triangle is right angled, therefore,

Using pythagoras theorem;

$a^2+b^2=c^2\\(10)^2+b^2=(12)^2\\100+b^2=144\\b^2=144-100\\b^2=44$

Taking square root on both sides

$\sqrt{b^2}=\sqrt{44}\\b=2\sqrt{11}\ units$

The length of other leg of triangle is 2√11 units.

Keywords: Pythagoras theorem, square root

Learn more about square roots at:

• brainly.com/question/1464739
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