# Find The Length of AB ? If

G is the centroid of DABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9 cm and 12 cm respectively; then the length of AB (in cm) is:

- 9.5
- 10
- 10.5
- 11

**Answer: (2) 10 cm**

**Explanation:-
**According to the question,

In the diagram-

AB = (6

^{2}+ 8

^{2})

^{1/2}

= (36 + 64)

^{1/2}

AB = (100)

^{1/2}

AB = 10 cm

Then, the length of AB is 10 cm.

Hence, the answer is (2) 10 cm.

Dear sir,

please help me for math. in this question how you take

** AG=6 , BG=8 , GE =4 , DG=3** what formula is used to divide total length (9 cm) of AD in two parts **AG=6** , ** DG=3**

after AG & BG length i can solve the AB length