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A yield sign is an equilateral triangle, with side length of 34 inches. How many square inches of material are needed to make a sign? Round your answer to the nearest tenth of a square inch.

A yield sign is an equilateral triangle, with side length of 34 inches. How many square-example-1
User Markusw
by
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2 Answers

2 votes

Answer:

499.8 in2

Explanation:

Find the height of the triangle, using the Pythagorean Theorem.

342 = 172 + x2

1156 = 289 + x2

867 = x2

29.4 = x

Area: ½(34)(29.4) = 499.8 in2

User DKM
by
8.2k points
4 votes

Answer:499.8 in^2


Explanation:

The yield sign is an equilateral triangle, with side length of 34 inches.


Square inches of materials needed is equivalent to area of the triangle.


Area of the triangle is given by

√3 / 4 * side ^2

= √3 / 4 * 34^2

= 500.6 square inches


Therefore, 500.6 square inches of materials is required to make the sign.


Amongst the given option 499.8 square inches is nearest to 500.6 square Inches.


Hope it helps.


Thank you !!

User Amit Kaspi
by
8.2k points