Question

The ratio of area of the triangles ABD and ADC, where AD is the height is:

• A. $\frac{3}{4}$
• B. $\frac{2}{3}$
• C. $\frac{5}{2}$
• D. $\frac{5}{3}$

Answer 1

The correct option is B $\frac{2}{3}$

Given:
BD = 2 cm, CD = 3 cm.

Area of a triangle $=\frac{1}{2}\times h\times b$

Ratio of areas of the triangles

$=\frac{△ABD}{△ADC}$

$=\frac{\frac{1}{2}\times AD\times BD}{\frac{1}{2}\times AD\times CD}$

$=\frac{BD}{CD}$

$=\frac{2}{3}$