state gov RPSC 2nd Grade Senior Teacher Mock Test Series 2025 Quantitative Aptitude Geometry Triangles, Congruence and Similarity
In a triangle ABC, AB = 6 units, BC = 8 units and AC = 10 units. Let M be a point on AC such that BM = 5 units. With a point D , a triangle BMD is formed and the triangle BMD is similar to the triangle ABC with \(\rm \frac{{BM}}{{AB}}=\frac{{BD}}{{AC}}\). What is the length of BD in units?
1
\(\frac{25}{3}\)
2
\(\frac{35}{3}\)
3
\(\frac{10}{3}\)
4
\(\frac{40}{3}\)
5
Question Not Attempted