Which quantity is proportional to 90⁄2
1 answer:
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The length of the KN is 4.4
Step-by-step explanation:
We know from Pythagoras theorem
In a right angle ΔLMN
Base² + perpendicular² = hypotenuse ²
From the properties of triangle we also know that altitudes are ⊥ on the sides they fall.
Hence ∠LKM = ∠NKM = 90 °
Given values-
LM=12
LK=10
Let KN be “s”
⇒LN= LK + KN
⇒LN= 10+x eq 1
Coming to the Δ LKM
⇒LK²+MK²= LM²
⇒MK²= 12²-10²
⇒MK²= 44 eq 2
Now in Δ MKN
⇒MK²+ KN²= MN²
⇒44+s²= MN² eq 3
In Δ LMN
⇒LM²+MN²= LN²
Using the values of MN² and LN² from the previous equations
⇒12² + 44+s²= (10+s) ²
⇒144+44+s²= 100+s²+20s
⇒188+s²= 100+s²+20s cancelling the common term “s²”
⇒20s= 188-100
∴ s= 4.4
Hence the value of KN is 4.4
<h3><u>Answer :- </u></h3>
168 km ...
<h3><u>Explanation :- </u></h3>It is given that the car travels 14km in 25 minutes..
Now , assume that the distance the car travel in 5 hours be x..
- Since 1 hour = 60 minutes..
- 5 hours = 300 minutes ..
• Thus , The two given statements are :-
- 14km -----------------> 25 minutes..
- And, x km -------------> 300 minutes..
- The distance travelled by car and the time taken by the car is directly proportional to each other....
• Hence , Car can travel 168km in 5 hours ..
Hope this helps you :)