Question

sebastian sees a picture of a pennant flag of the college he wants to attend. the pennant is an isosceles triangle. the base of the triangle in the image is 2 inches and a leg is 3 inches. he wants to draw this image using a scale factor of 1.5. what will the perimeter of his drawing be? 3 inches 12 inches 4.5 inches 9 inches

Explanation:

Step1: Find the base and legs of the scaled - down triangle

Since it's an isosceles triangle, the two legs are equal. Given the scale factor is \(1.5\).
If the original leg is \(3\) inches, the scaled - down leg \(l = 3\times1.5=4.5\) inches.
If the original base is \(2\) inches, the scaled - down base \(b = 2\times1.5 = 3\) inches.

Step2: Calculate the perimeter of the triangle

The perimeter \(P\) of a triangle is \(P=a + b+ c\) (for an isosceles triangle \(a = c\) (legs) and \(b\) is the base).
\(P=4.5+4.5 + 3\)
\(P=(4.5\times2)+3\)
\(P = 9 + 3\)
\(P=12\) inches

Answer:

12 inches