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3 years ago

PLS HELP BRAINLIEST WILL BE AWARDED IF ANSWER IS CORRECT

Mathematics

1 answer:

Monica [59]3 years ago

5 0

Answer:

AC = 18.1 cm

Step-by-step explanation:

Construct a line from point B perpendicular to the line AD and mark it as E on line AD. Now you have a right triangle ABE with AB = 16 cm and AE = AD - BC

so AE = 11 cm - 4 cm = 7 cm

You can find BE by using Pythagorean theorem

BE^2 = AB^2 - AE^2

BE^2 = 16^2 - 7^2

BE^2 = 256 - 49

BE^2 = 207

BE = 14.4 cm

Draw a line from A to C, you have a right triangle ACD with AD = 11cm and CD = BE = 14.4 cm

Using Pythagorean theorem

AC^2 = AD^2 + CD^2

AC^2 = 11^2 + 207

AC^2 = 121 + 207

AC^2 = 328

AC = 18.1 cm

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