Answer:
GP = 5.2 inches
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, hence
[tex]\frac{GP}{DT}[/tex] = [tex]\frac{AP}{DT}[/tex], that is
[tex]\frac{GP}{15.6}[/tex] = [tex]\frac{8.3}{24.9}[/tex] ( cross- multiply )
24.9 GP = 8.3 × 15.6 ( divide both sides by 24.9 )
GP = [tex]\frac{18.3(15.6)}{24.9}[/tex] = 5.2
