3 years ago

Isaac made a mistake

Mathematics

2 answers:

Crazy boy [7]3 years ago

8 0

AHHHHHHHHHHHHHHHHHHHH

Pavel [41]3 years ago

5 0

Answer:

YES HE DID

Step-by-step explanation: DA MN U ISAAC

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miss Akunina [59]

In the smallest of the three triangles (with sides $a,b,3$ ) we have

$a^2+3^2=b^2$

In the second-largest triangle (with sides $a,108$ ), the length of the missing side is $\sqrt{a^2+108^2}$ . Then in the largest triangle (with sides $b,111,\sqrt{a^2+108^2}$ ), we have

$b^2+\left(\sqrt{a^2+108^2}\right)^2=(108+3)^2=111^2$

$\implies b^2+a^2+108^2=111^2$

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Equivalently, we have

$(a^2+9)+a^2=657\implies 2a^2=648\implies a^2=324\implies a=18$

In turn, we find

$b^2=18^2+3^2=298\implies b=\sqrt{333}=3\sqrt{37}$

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Isaac made a mistake ​

Isaac made a mistake