11 The sides of two similar triangle are in a ratio of 5:6. The area of the larger triangle is 108.Find the area of the smaller triangle. (1 point)

Answer:The area of the smaller triangle is 75.Step-by-step explanation:Here, the ratio of the sides of the similar triangle are 5 : 6The area if the larger triangle = 108let us assume that the area of the smaller triangle = mBy the Theorem:In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides. Similarly, here[tex][tex](\frac{5}{6}) ^2[/tex]  = \frac{m}{108}[/tex] ⇒[tex]\frac{(5)^2}{(6)^2}   = \frac{m}{108}[/tex] or, [tex]\frac{25}{36}   = \frac{m}{108}  \implies m = \frac{108 \times 25}{36}  = 75[/tex]⇒ m = 75Hence, the area of the smaller triangle is 75.