Answered

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If LM = 14 and MN = 11, what is KM?Write your answer as a whole number or as a decimal rounded to the nearest hundredth

If LM 14 And MN 11 What Is KMWrite Your Answer As A Whole Number Or As A Decimal Rounded To The Nearest Hundredth class=

Sagot :

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

LM = 14

MN = 11

KM = ?

Step 02:

We must apply the triangle rules to find the solution.

Pythagoras Theorem

LM² = LN² + MN²

(14)² = LN² + (11)²

(14)² - (11)² = LN²

[tex]LN\text{ = }\sqrt[]{196-121}[/tex]

LN = 8.66

[tex]\frac{LN}{MN}=\frac{KN}{LN}[/tex][tex]\frac{8.66}{11}=\frac{KN}{8.66}[/tex]

8.66 * 8.66 = 11 * KN

6.818 = KN

KM = KN + MN

KM = 6.818 + 11 = 17.818

The answer is:

The value of KM is 17.82

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