Subject:
MathematicsAuthor:
eliannaCreated:
7 months agoAnswer:
(Segment JL)(Segment ML)=10(6.4)=64 units
Step-by-step explanation:
In the given information, triangle JKL with right angle at K. Segment JK is 6 and segment KL is 8. Point M is on segment JL and angles KMJ and KML are right angles.
we have to choose the correct option.
In order to choose we have to find the segment ML
Let ML=x therefore JM=10-m
In triangle JMK, by Pythagoras theorem
JK^{2}=JM^{2}+MK^{2}\\ 36=(10-m)^2+KM^2\\KM^2=36-(10-m)^2
In triangle KML
KL^{2}=KM^{2}+ML^{2}\\ 64=m^2+KM^2\\KM^2=64-m^2
From above two equations we get
36-(10-m)^2=64-m^2
⇒ 64-m^2=36-(10-m)^2
⇒ 20m=\frac{128}{20}
⇒ m=6.4 units
(Segment JL)(Segment ML)=10(6.4)=64 units
Hence, last option is correct
Author:
hobbesbowers
Rate an answer:
3Answer:
Segment JL × segment JM = 36
Segment JL × segment LM = 64
Step-by-step explanation:
I'm smart.
Author:
ripleyali
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3Rate an answer:
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