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Minchanka [31]
2 years ago
12

Please answer this question now

Mathematics
1 answer:
Rashid [163]2 years ago
4 0

Answer:

54

Step-by-step explanation:

To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.

The perimeter of the given triangle = IK + KM + MI

IK = IJ + JK = 13

KM = KL + LM = ?

MI = MN + NI ?

Let's find the length of each tangents.

NI = IJ = 5 (tangents from external point I)

JK = IK - IJ = 13 - 5 = 8

JK = KL = 8 (Tangents from external point K)

LM = MN = 14 (Tangents from external point M)

Thus,

IK = IJ + JK = 5 + 8 = 13

KM = KL + LM = 8 + 14 = 22

MI = MN + NI = 14 + 5 = 19

Perimeter = IK + KM + MI = 13 + 22 + 19 = 54

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Given: Triangle ABC, mmBC=24 cm, line segment AL- &lt; bisector
Furkat [3]

The value of line AL is 21. 51cm

<h3>How to determine the length</h3>

To find line AL,

Using

Sin α = opposite/ hypotenuse to find line AB

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1 = x/24

Cross multiply

x = 24cm

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Sin angle B = line AC/24

Note that to find angle B

angle A + angle B + angle C = 180

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x + 2x + 90 = 180

3x + 90 = 180

3x = 180-90

x = 30°

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Cross multiply

x = 24 × 0. 8660

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We have the angle of A  in the given triangle to be divide into two by the bisector, angle A = 15°

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Cos = adjacent/ line AL

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Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

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Thus, the value of line AL is 21. 51cm

Learn more about trigonometry ratio here:

brainly.com/question/24349828

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