Question

use the image to answer the question.
mike draws a triangle and dilates it by a scale factor of 2.5. the triangle’s original dimensions are 4 inches high and 6 inches along its base. what is the area (in square inches) of mike’s dilated triangle?
(2 points)
15
24
75
150

Explanation:

Step1: Find scaled dimensions

The scale factor is \(2.5\). For height: \(4\times2.5 = 10\) inches. For base: \(6\times2.5 = 15\) inches.

Step2: Calculate area of scaled triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Substitute base \(= 15\) and height \(= 10\): \(A=\frac{1}{2}\times15\times10\).
First, calculate \(15\times10 = 150\), then \(\frac{1}{2}\times150 = 75\).

Answer:

75