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3 years ago

Find the perimeter of triangle SLC

Mathematics

2 answers:

liraira [26]3 years ago

8 0

Cls is the answer for this person

NikAS [45]3 years ago

8 0

Answer:

96 units

Step-by-step explanation:

The corresponding sides are congruent, thus

SL = DE , substitute values

8x + 16 = 41 + 3x ( subtract 3x from both sides )

5x + 16 = 41 ( subtract 16 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Thus perimeter = SL + LC + SC

Note that SC = DN = 6x - 4 ( corresponding sides are congruent )

perimeter = 8x + 16 + x + 9 + 6x - 4 = 15x + 21 = 15(5) + 21 = 75 + 21 = 96

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