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PLEASE HELP!!! PLEASE HURRY!!!

PLEASE HELP!!! PLEASE HURRY!!!-example-1
User Mike Gleason
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1 Answer

19 votes
19 votes

Answer:

C.

Explanation:

as M is right over the middle of LN, this is an isoceles triangle (both legs are equally long).

so, we need to calculate only one leg and then double it fit both legs.

we get e.g. LM via Pythagoras.

LM is the Hypotenuse of the right-angled triangle with half of LN and the height to M being the legs.

so,

LM² = height² + (LN/2)² = 3² + 6² = 9 + 36 = 45

LM = sqrt(45) = 6.708203932... units

the perimeter is the sum of all 3 sides :

LN + LM + MN = LN + 2×LM = 12 + 2×sqrt(45) =

= 25.41640786... units

User Ryan Walton
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2.6k points