Respuesta :

The ratio of the sides of a 30 60 90 triangle are 1 : sq root (3) : 2
So the sides are
7.4
7.4 * sq root (3) = 12.82
7.4 * 2 = 14.8

Perimeter = 7.4 + 12.82 + 14.8
Perimeter = 35.02

The perimeter of the 30°-60°-90° triangle whose shorter leg is 7.4 meters long is; 35meters

The ratio of the legs of a 30°-60°-90° triangle is;

  • 1 : √3 : 2.

where, the shorter leg is 1.

The perimeter of the triangle is therefore the sum of all three legs and is evaluated as follows;

  • Perimeter = 7.4 (1 + √3 + 2)

  • Perimeter = 7.4 × 4.73

  • Perimeter = 35.0 meters.

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