Mewx13
Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

In a right-angled triangle, the sum of the squares of the three sides is 72. What is the length of the hypotenuse?

Sagot :

jcherry99

Answer:

The hypotenuse has a length of 6

Step-by-step explanation:

Remark

The first step is to create the 2 equations needed to solve this problem.

Then substitute one into the other.

Equations

c^2 + a^2 + b^2 = 72  

c^2 = a^2 + b^2

Solution

c^2 + a^2 + b^2 = 72             The sum of the sides each squared of a right triangle = 72

c^2 = a^2 + b^2                      The pythagorean theorem says the hypotenuse of the right triangle = the sum of the squares of two smaller sides. You can substitute the hypotenuse squared into the top equation for a^2 + b^2

c^2 + c^2 = 72

2c^2 = 72

c^2 = 36

c = 6.                      minus 6 is meaningless

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.