The figure shows three right triangles. triangles

Ответ:

samantha9430

10.03.2022

(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

The figure shows three right triangles. triangles jkm, klm, and jlk are similar. theorem: if two tr

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