Answered

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A triangular banner is to be made according to the specifications in the figure shown, with dimensions given in inches.

image

Wooden sticks will be used to outline the perimeter of the banner in order to attach the interior material.

How many inches of wooden sticks will be required?

Sagot :

The inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.

Perimeter of a triangle

The perimeter of a triangle is the sum of the whole three sides.

Therefore, the perimeter of the triangle can be found by adding the whole sides of the triangle.

The remaining sides of the triangle can be found using Pythagoras theorem.

c² = a² + b²

where

  • a and b are the legs
  • c = hypotenuse

Therefore,

a² = 13² - 5²

a² = 169 - 25

a = √144

a = 12 inches

Therefore,

b² = 15² - 12²

b² = 225 - 144

b = √81

b = 9 inches

Therefore,

perimeter = 13 + 15 + 5 + 9 = 42 inches

Therefore, the inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.

learn more on perimeter here: https://brainly.com/question/16096915

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