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melisa1 [442]
3 years ago
14

triangle MKL is an isosceles triangle with MK congruent to ML. If Mk=7x-15, KL=4x-5, and ML=10x-42, find x and the measure of ea

ch side
Mathematics
1 answer:
charle [14.2K]3 years ago
5 0
<h2>Answer: </h2>

For given isosceles triangle ΔMKL with MK≅ML, <u>x=9; MK=48, KL=31, ML=48</u>.

<h3>Explanation:</h3>

An isosceles triangle has two of its 3 sides congruent.

For given ΔMKL, MK is congruent to ML (MK ≅ ML); i.e. length of side MK is equal to length of the side ML.

Given:

MK=7x-15

KL=4x-5

ML=10x-42

Equating MK with ML, we get:

MK=ML

7x-15 = 10x-42

Taking all x terms to the right,

42-15 = 10x-7x

27 = 3x

x=9

To find measure of each side MK, ML and KL; <u>substitute</u> the value of x=9 in corresponding equations.

MK = 7x-15  

= (7×9) - 15

= 63-15  

= 48

KL = 4x-5

= (4×9)-5

= 36-5

= 31

ML = 10x-42

= (10×9)-42

= 90-42

= 48

Therefore, for given ΔMKL with MK≅ML, x=9; MK=48, KL=31, ML=48.

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