Two similar trave Permit areas 13 trangnes i area of and 30

Two similar trave Permit areas. 13. trangnes i area of and 30 cm. Find the ratio of their In the figure, ARXY ARST. The ARXY is 24 cm2 and the area of ARST is 54 cm If XY is 10 cm long, find ST.

Solution

As per the property of similar traingles :

Ratio of are of similar triangles = (Ratio of corresponding sides of triangle)^2

Area of RXY/Area RST = (XY/ST)^2

24/54 = ( 10/ST)^2

ST^2 = 54*100/24 = 225

ST = sqrt225 = 15 cm