Question

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Answer 1

Answer:a) Proved belowb) AD = 13.9 cmStep-by-step explanation:a) Finding the length of AC by Pythagorean Theoremc² = a² + b²c² = 12² + 5²c² = 144 + 25c² = 169Taking sqrt on both sides soAC = 13 cmHence proved that AC = 13 cmb) Calculating AD by Pythagorean Theoremc² = a² + b²c² = 13² + 5²c² = 169 + 25c² = 194Taking sqrt on both sides

AD = 13.9 cm

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Answer 2

a) Proved below

b) AD = 13.9 cm

Explanation:

a) Finding the length of AC by Pythagorean Theorem

c² = a² + b²

c² = 12² + 5²

c² = 144 + 25

c² = 169

Taking sqrt on both sides so

AC = 13 cm

Hence proved that AC = 13 cm

b) Calculating AD by Pythagorean Theorem

c² = a² + b²

c² = 13² + 5²

c² = 169 + 25

c² = 194

Taking sqrt on both sides

AD = 13.9 cm