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julsineya [31]
3 years ago
15

GEOMETRY! Please help!

Mathematics
1 answer:
tatiyna3 years ago
6 0

Answer: perimeter = 62

Step-by-step explanation:

To determine the length of the unknown sides of the triangle, we would apply the sine rule which is expressed as

a/SinA = b/SinB = c/SinC

Therefore

AB/Sin 40 = 19.5/Sin 49

ABSin49 = 19.5Sin40 = 19.5 × 0.64

0.755AB = 12.48

AB = 12.48/0.755

AB = 16.5

The sum of the angles in a triangle is 180°. Therefore,

A = 180 - (40 + 49) = 91°

BC/Sin 91 = 19.5/Sin 49

BCSin49 = 19.5Sin91 = 19.5 × 0.9998

0.755BC = 19.5

BC = 19.5/0.755

BC = 25.8

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = a + b + c

Where

a, b and c represents the length of each side of the triangle.

Perimeter of triangle = 25.8 + 16.5 + 19.5 = 62

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