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If J K = 16 x , K L = 12 JK=16 x,KL=12, and J L = 20 x + 8 JL=20 x+8, what is J K ? JK?
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We are given that J K = 16 x JK=16 x, K L = 12 KL=12, and J L = 20 x + 8 JL=20 x+8. We need to find the value of J K JK.
We can use the triangle inequality J K + K L ≥ J L JK+KL >= JL to obtain:
16 x + 12 ≥ 20 x + 8 16 x+12 >= 20 x+8
Simplifying, we get:
4 x ≥ 1 4x >= 1
Dividing by 4 4 on both sides, we get x ≥ 1 4 x >= (1)/(4).
Now, we can just use the equation J K = 16 x JK=16 x to find the value of J K JK:
J K = 16 ⋅ 1 4 = 4 JK=16*(1)/(4)=4.
So, the value of J K JK is 4 4.
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