213k views
23 votes
10 mi
6 mi
b
What is the length of the missing leg?
b
miles

10 mi 6 mi b What is the length of the missing leg? b miles-example-1

1 Answer

7 votes

Answer:

The length of the missing leg:

  • b = 8 miles

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=√(a^2+b^2)

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


b=√(c^2-a^2)

substituting c = 10 and b = 6 in the formula


b=√(10^2-6^2)


b=√(100-36)


b=√(64)


b=√(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
User Paul Hachmang
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories