Question

10 mi 6 mi b What is the length of the missing leg? b miles

Answer 1

Answer:

The length of the missing leg:

• b = 8 miles

Step-by-step explanation:

Given

• c = 10 mi

• a = 6 mi

To determine:

The length of the leg b = ?

For a right-angled triangle, with sides a and b the hypotenuse c is defined as:

$c=\sqrt{a^2+b^2}$

We can find the length of the leg b using the formula

$b=\sqrt{c^2-a^2}$

substituting c = 10 and b = 6 in the formula

$b=\sqrt{10^2-6^2}$

$b=\sqrt{100-36}$

$b=\sqrt{64}$

$b=\sqrt{8^2}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a$

$b=8$ mi

Therefore, the length of the missing leg:

• b = 8 miles