Math  /  Geometry

QuestionIf positive integers are chosen for rr and ss, with r>sr>s, then the following set of equations generates a Pythagorean triple ( a,b,ca, b, c ). a=r2s2b=2rsc=r2+s2a=r^{2}-s^{2} \quad b=2 r s \quad c=r^{2}+s^{2}
Use the values r=7\mathrm{r}=7 and s=5\mathrm{s}=5 to generate a Pythagorean triple. a=a= (Simplify your answer.)

Studdy Solution
So, our **Pythagorean triple** is (2424, 7070, 7474).
These numbers satisfy the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2.
Let's check: 242+702=576+4900=547624^2 + 70^2 = 576 + 4900 = 5476, and 742=547674^2 = 5476.
It works!

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord