Question

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

Answer 1

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

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

LN = 8.66

`(LN)/(MN)=(KN)/(LN)`
`(8.66)/(11)=(KN)/(8.66)`

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