Question

Find the perimeter of triangle SLC

Answer 1

Cls is the answer for this person

Answer 2

96 units

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