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Allisa [31]
3 years ago
8

Calculate the perimeter

Mathematics
1 answer:
storchak [24]3 years ago
7 0

Answer:

The perimeter of triangle ABC is 146 units

Step-by-step explanation:

we know that

The segment AB, AC and BE are tangent to the circle G

so

The circle G is an inscribed circle

The point G is the incenter of the inscribed circle within the triangle

therefore

AE=AD

BF=BE

CD=CF

we have

AB=56 units

BE=16 units

CD=17 units

Find the value of AE

AE=AB-BE

substitute the given values

AE=56-16=40 units

Find the perimeter

The perimeter of triangle ABC is

P=2[AE+BE+CD]

substitute

P=2[40+16+17]=146 units

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The length of the leach is 16.05 ft and the area of the mainsail is 64.94 ft²

<h3>What is application of law of sines?</h3>

The law of sines refers to the ratio of side length of triangle to the sine of the opposite angle which is same for all the sides.

SinA / a = SinB/ b = SinC/c

where, the A,B,C are the angles of the triangle and a,b,c are the opposite sides of the angle of triangle.

The mainsail foot is 13 feet long, the luff is 10 feet long has the length of the leach 6.93 ft and the area of the mainsail is 64.85 .

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Read more about the law of sines at; brainly.com/question/17289163

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