a. 3² + 5² = AB²
[tex]AB= \sqrt{9+25}= \sqrt{34}= 5.83[/tex]
b. 6² - 5² = AB²
[tex]AB= \sqrt{36-25}= \sqrt{11}= 3.32[/tex]
c. 6² + AB² = 15²
[tex]AB= \sqrt{15^{2}-6^{2}} = \sqrt{225-36} = \sqrt{189}=13.75 [/tex]
d. AB² + 4² = 13²
[tex]AB= \sqrt{13^{2}-4^{2} }= \sqrt{169-16} = \sqrt{153}= 12.37[/tex]
e. (Racine carrée12)² + 5² = AB²
[tex]AB= \sqrt{ \sqrt{12}^{2}+5^{2} }= \sqrt{12+25}= \sqrt{37}=6.08 [/tex]
f. 36 = 4² + AB²
[tex]AB= \sqrt{36-4^{2}}= \sqrt{36-16}= \sqrt{20}=4.47 [/tex]
