SSC CGL 16 Aug 2015 Shift 1 Paper

Question : 138 of 200

Marks: +1, -0

G is the centroid of ΔABC. 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
11
10.5

Validate

Solution:

AD = 9 cm.
∴ AG =

2/3

× 9 = 6 cm
BE = 12 cm.
∴ BG =

2/3

× 12 = 8 cm
∠AGB = 90°
∴ From ΔABG
AB =

√{AG^2+BG^2}

√{6^2+8^2}

√{36+64}

√{100}

= 10 cm

Go to Question:

Prev Question

Next Question