Answer:
For given isosceles triangle ΔMKL with MK≅ML, x=9; MK=48, KL=31, ML=48.
Step-by-step explanation:
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; substitute 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.