Using the Pythagorean Theorem and quadratic equation to find side lengths of a right triangle. The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: Length of the longer leg: Length of the hypotenuse:
Added by Maria F.
Step 1
Then the length of the longer leg is 2x + 20 inches, and the length of the hypotenuse is 2x + 22 inches. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Lauren Bernstein and 50 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The hypotenuse of a right triangle is 24 ft long. One leg is 22 ft longer than the other. Find the lengths of the legs.
James K.
Find the length of the hypotenuse of a right triangle if the length of the longer leg is 20 feet and the length of the shorter leg is 12 feet.
Dr Harish V.
REAL NUMBERS AND RADICALS
Roots and Radicals
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD