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Calculate the length of ac to 1 decimal place below

Calculate The Length Of Ac To 1 Decimal Place Below class=

Sagot :

Answer:

18.11

Step-by-step explanation:

Look at the file I attached

I marked a new point E for explanation purposes.

to find out the length of AC, we need to find out the length of CD and the length of CD = length of BE.

To find out the length of BE, we need to know AE, and

AE is AD - BC

AE = 11 - 4

AE = 7

Now we have AE

Use the Pythagoras theorem to calculate BE

AE² + BE² = AB²

7² + BE² = 16²

16² - 7² = BE²

207 = BE²

√207 = BE

Since BE = CD

The length of CD is √207

Now use the Pythagoras theorem again

AD² + CD² = AC²

11² + (√207)² = AC²

121 + 207 = AC²

328 = AC²

√328 = AC

AC = 18.11

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