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I am really struggling with this proof and would appreciate help. Thank you! 5 Rex. Paulo and Ben are standing on the shore watching for

I am really struggling with this proof and would appreciate help. Thank you!

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5 Rex. Paulo and Ben are standing on the shore watching for dolphins. Paulo sees one surteoe directly In horn-of him about a hundred test away. Use the spaces provided belowr to prove that the square of the distance between Rex and Ben is the same as the sum ofthe squares of the distances between Rex and the dolphin. and Ben and the dolphin. [11 points] Dolphin Given: .2100 --.A63 and -eoc ~_BCA C - Prove: a' + b' - c' a b B A Rex I: 0 Ben Paula Statements I Reasons I 1. 231100 ~ AACB I I 2. 52 _ The ratio of corresponding sides of similar triangles is a 3'5 constant, 3. I Rewrite statement 2 using given side labels. 4. o2 = so 5. ABDC - ABCA I Given L__| __l 7- 2 - 2 c a 3. I Cross multiply statement 7. I 9, I Add statements 4 and 3. I 10. I c is a common factor. I 11.ez+b2=c2

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