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Answer:
a) Proved below
b) AD = 13.9 cm
Step-by-step 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
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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