Question

ABC and ADC are triangles. The area of triangle ADC is 52m^2

Answer 1

Given that,

ABC and ADC are triangles.

The area of ΔADC is 52 m².

Suppose , AD is the median.

According to figure,

We need to find the area of ΔABC

Using theorem of triangle

$\bigtriangleup ADB +\bigtriangleup ADC=\bigtriangleup ABC$

Here, Δ ADB = Δ ADC

So, $2 \bigtriangleup ADC=\bigtriangleup ABC$

Put the value of Δ ADC

$\bigtriangleup ABC =2\times52$

$\bigtriangleup ABC = 104\ m^2$

Hence, The area of ΔABC is 104 m².