Answer:
[tex]9 \sqrt{2}\ cm[/tex]
Step-by-step explanation:
Given
Hypotenus = 18cm
Required
Find the length of the other two sides
From the question, we understand that the other two sides are equal; let's represent them with x.
Pythagoras theorrem states that:
[tex]Hypotenuse^2 = x^2 + x^2[/tex]
Substitute 18 for Hypotenuse
[tex]18^2 = x^2 + x^2[/tex]
[tex]18^2 = 2x^2[/tex]
[tex]18 * 18 = 2x^2[/tex]
[tex]324 = 2x^2[/tex]
Divide both sides by 2
[tex]\frac{324}{2} = \frac{2x^2}{2}[/tex]
[tex]162 = x^2[/tex]
Take root of both sides
[tex]\sqrt{162} = \sqrt{x^2}[/tex]
[tex]\sqrt{162} = x[/tex]
[tex]x = \sqrt{162}[/tex]
[tex]x = \sqrt{81 * 2}[/tex]
Split the above
[tex]x = \sqrt{81} *\sqrt{2}[/tex]
[tex]x = 9 *\sqrt{2}[/tex]
[tex]x = 9 \sqrt{2}[/tex]
Hence, the length of one leg is [tex]9 \sqrt{2}\ cm[/tex]
Answer:
B: 9 square root 2 cm
Step-by-step explanation:
This is correct on edge 2020
