Question
upstudy study bank question image url

s. The length of one leg of a right triangle is 5 centimeters shorter than the hypotenuse. The hypotenuse is 15 centimeters. What is the length of the unknown leg of the right triangle rounded to the nearest tenth?

Ask by Gardner Perkins. in the United States
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The length of the unknown leg is approximately 11.2 centimeters.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Bonus Knowledge

To find the length of the unknown leg of the right triangle, we start with the information given. The hypotenuse is 15 cm, and one leg is 5 cm shorter than the hypotenuse. So, the length of that leg would be 15 cm - 5 cm = 10 cm. Now, we can use the Pythagorean theorem, which states that for a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the legs (a and b): c² = a² + b². Using our values: 15² = 10² + b². This gives us 225 = 100 + b². Rearranging gives b² = 225 - 100 = 125. To find b, we take the square root, yielding b = √125, which is approximately 11.2 cm when rounded to the nearest tenth. Thus, the length of the unknown leg of the right triangle is about 11.2 centimeters.

Related Questions

Latest Geometry Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy