Question

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Answer 1

Answer:

15

Step-by-step explanation:

AC=13 BD=5 BC=14

DC=5-14=9

CONSTRUCT A PERPENDICULAR FROM A TO D

APPLYING PYTHAGORAS FOR AD

13² - 5² =

169 - 25 = 144

✓144=12

AGAIN APPLYING PYTHAGORAS FORMULA

AD² + DC² = AC²

12² + 9² =

144 + 81 = 225

✓225 = 15

AC = 15 cm

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Answer 2

Answer: AC=15 CM

Step-by-step explanation:

IN TRIANGLE ABD

AB=13CM

BD=5CM

AD=?

AB²=BD²+AD²(PYTHAGORAS THEOREM)

13²=5²+AD²

169=25+AD²

169-25=AD²

144=AD²

√144=AD

12=AD

IN TRIANGLE ADC

AD=12CM

DC=9CM

AC=?

AC²=AD²+DC²(PYTHAGORAS THEOREM)

AC²=12²+92

AC²=144+81

AC²=225

AC=√225

AC=15CM

Hope it helped you