A sign company is building a sign with the dimensions shown.
What is the area, in square feet, of the sign?
Since the top of the sign has a length of 10 feet, split into two equal sections, then each section of the top is 5 feet.
The height of the triangle can be found by using the Pythagorean Theorem on either the left or right triangle. Pythagorean Theorem a² + b² = c² {sum of the squares of the legs is equal to the square of the hypotenuse} 5² + b² = 13² {substituted 5 in for a leg and 13 in for the hypotenuse, into the Pythagorean Theorem} 25 + b² = 169 {evaluated exponents} b² = 144 {subtracted 25 from each side} b = 12 {took square root of each side} height of triangle is 12 ft base x height  = area of a triangle 2 10 x 12  = area {substituted 10 for base and 12 for height, of triangle, into area formula} 2 120  = area {multiplied 10 by 12} 2 area = 60 ft² Ask Algebra House Comments are closed.

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