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2 years ago

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Mathematics

1 answer:

ValentinkaMS [17]2 years ago

4 0

Answer:

$P = 58$

Step-by-step explanation:

<em>The image if the circle and triangle can be found online</em>

Given

$JA = 8$

$AL = 8$

$CK = 10$

Required

The perimeter of JKL

Since the mid-points of the tangents are A, B and C respectively.

$JK = JB + BK$

Where

$JB = JA = 8$

$BK = CK = 10$

So:

$JK =8+10 =18$

$JL = JA + AL$

$JL = 8+11 = 19$

$KL = CL + CK$

Where

$CL =AL = 11$

So:

$KL = 11+10 = 21$

So, the perimeter (P) is:

$P = JK+ KL +JL$

$P = 18 + 19 + 21$

$P = 58$

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