If △ABC and △PQR are two similar triangles shown in the figure. AM and AN are the medians on △ABC and △PQR respectively. The ratio of areas of △ABC and △PQR is 9:25. If AM = PO = 5 cm. Find the value of 3ON.
We are given two triangles ABC and PQR such that △ABC ~ △PQR
Given AM = PO = 5 cm
So, areaof△ABCareaof△PQR = AM2PN2 = 52(5+ON)2 = 925
Take the square root on both sides
Then 55+ON = 35
25 = 15 + 3ON
ON = 103
3ON = 10 cm