Answer:
The length of the missing leg:
Step-by-step explanation:
Given
To determine:
The length of the leg b = ?
For a right-angled triangle, with sides a and b the hypotenuse c is defined as:
[tex]c=\sqrt{a^2+b^2}[/tex]
We can find the length of the leg b using the formula
[tex]b=\sqrt{c^2-a^2}[/tex]
substituting c = 10 and b = 6 in the formula
[tex]b=\sqrt{10^2-6^2}[/tex]
[tex]b=\sqrt{100-36}[/tex]
[tex]b=\sqrt{64}[/tex]
[tex]b=\sqrt{8^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
[tex]b=8[/tex] mi
Therefore, the length of the missing leg:
