Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Answer:
Shorter leg = 20 cm.
Longer leg = 21cm.
Hypotenuse = 29 cm
Step-by-step explanation:
Let the shorter leg be x cm long
Then longer leg = x + 1 and hypotenuse = x + 9 cm long
So by Pythagoras:
x^2 + (x + 1)^2 = (x + 9)^2
0 = x^2 + 18x + 81 - x^2 - (x^2 + 2x + 1)
x^2 + 18x + 81 - x^2 - x^2 - 2x - 1 = 0
-x^2 + 16x + 80 = 0
x^2 - 16x - 80 = 0
(x - 20)(x + 4) = 0
So x = 20 (we ignore the negative root).
So longer leg = 20 + 1 and hypotenuse = 20 + 9.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
